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2495139840 = 21232513537
BaseRepresentation
bin1001010010111000…
…1101000000000000
320102220001020101200
42110232031000000
520102223433330
61051331301200
7115555224114
oct22456150000
96386036350
102495139840
111070494546
1259774a800
13309c1a20b
14199547744
15e90baa60
hex94b8d000

2495139840 has 156 divisors (see below), whose sum is σ = 8649401124. Its totient is φ = 665321472.

The previous prime is 2495139821. The next prime is 2495139863. The reversal of 2495139840 is 489315942.

2495139840 is a `hidden beast` number, since 2 + 4 + 9 + 513 + 98 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1833209856 + 661929984 = 42816^2 + 25728^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 177552 + ... + 191088.

It is an arithmetic number, because the mean of its divisors is an integer number (55444879).

Almost surely, 22495139840 is an apocalyptic number.

2495139840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2495139840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4324700562).

2495139840 is an abundant number, since it is smaller than the sum of its proper divisors (6154261284).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2495139840 is a wasteful number, since it uses less digits than its factorization.

2495139840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13572 (or 13547 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 2495139840 is about 49951.3747558563. The cubic root of 2495139840 is about 1356.3287374846.

The spelling of 2495139840 in words is "two billion, four hundred ninety-five million, one hundred thirty-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2048 2304 2560 2880 3072 3840 4096 4608 5120 5760 6144 7680 9216 10240 11520 12288 13537 15360 18432 20480 23040 27074 30720 36864 40611 46080 54148 61440 67685 81222 92160 108296 121833 135370 162444 184320 203055 216592 243666 270740 324888 406110 433184 487332 541480 609165 649776 812220 866368 974664 1082960 1218330 1299552 1624440 1732736 1949328 2165920 2436660 2599104 3248880 3465472 3898656 4331840 4873320 5198208 6497760 6930944 7797312 8663680 9746640 10396416 12995520 13861888 15594624 17327360 19493280 20792832 25991040 27723776 31189248 34654720 38986560 41585664 51982080 55447552 62378496 69309440 77973120 83171328 103964160 124756992 138618880 155946240 166342656 207928320 249513984 277237760 311892480 415856640 499027968 623784960 831713280 1247569920 2495139840