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2555281440 = 253255873023
BaseRepresentation
bin1001100001001110…
…1000000000100000
320121002012202011100
42120103220000200
520213123001230
61101320314400
7120215351055
oct23023500040
96532182140
102555281440
1110a1431848
125b3912a00
1331951676a
141a352102c
15ee4ea660
hex984e8020

2555281440 has 144 divisors (see below), whose sum is σ = 8737642368. Its totient is φ = 680022528.

The previous prime is 2555281433. The next prime is 2555281453. The reversal of 2555281440 is 441825552.

2555281440 is a `hidden beast` number, since 25 + 552 + 81 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2555281395 and 2555281404.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 843769 + ... + 846791.

It is an arithmetic number, because the mean of its divisors is an integer number (60678072).

Almost surely, 22555281440 is an apocalyptic number.

2555281440 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 2555281440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4368821184).

2555281440 is an abundant number, since it is smaller than the sum of its proper divisors (6182360928).

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

2555281440 is a wasteful number, since it uses less digits than its factorization.

2555281440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3631 (or 3620 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

The square root of 2555281440 is about 50549.7916909655. The cubic root of 2555281440 is about 1367.1397587461.

The spelling of 2555281440 in words is "two billion, five hundred fifty-five million, two hundred eighty-one thousand, four 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 72 80 90 96 120 144 160 180 240 288 360 480 587 720 1174 1440 1761 2348 2935 3023 3522 4696 5283 5870 6046 7044 8805 9069 9392 10566 11740 12092 14088 15115 17610 18138 18784 21132 23480 24184 26415 27207 28176 30230 35220 36276 42264 45345 46960 48368 52830 54414 56352 60460 70440 72552 84528 90690 93920 96736 105660 108828 120920 136035 140880 145104 169056 181380 211320 217656 241840 272070 281760 290208 362760 422640 435312 483680 544140 725520 845280 870624 1088280 1451040 1774501 2176560 3549002 4353120 5323503 7098004 8872505 10647006 14196008 15970509 17745010 21294012 26617515 28392016 31941018 35490020 42588024 53235030 56784032 63882036 70980040 79852545 85176048 106470060 127764072 141960080 159705090 170352096 212940120 255528144 283920160 319410180 425880240 511056288 638820360 851760480 1277640720 2555281440