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2531641020 = 22351716315227
BaseRepresentation
bin1001011011100101…
…1100011010111100
320112102201200121020
42112321130122330
520141100003040
61055113504140
7116510410416
oct22671343274
96472650536
102531641020
11108a055407
125a7a12050
1331465a34c
141a03299b6
15ec3cacd0
hex96e5c6bc

2531641020 has 96 divisors (see below), whose sum is σ = 7552113408. Its totient is φ = 631452672.

The previous prime is 2531641019. The next prime is 2531641033. The reversal of 2531641020 is 201461352.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 158647 + ... + 173873.

It is an arithmetic number, because the mean of its divisors is an integer number (78667848).

Almost surely, 22531641020 is an apocalyptic number.

2531641020 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 2531641020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3776056704).

2531641020 is an abundant number, since it is smaller than the sum of its proper divisors (5020472388).

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

2531641020 is a wasteful number, since it uses less digits than its factorization.

2531641020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15419 (or 15417 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2531641020 is about 50315.4153316854. The cubic root of 2531641020 is about 1362.9106168622.

The spelling of 2531641020 in words is "two billion, five hundred thirty-one million, six hundred forty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 163 170 204 255 326 340 489 510 652 815 978 1020 1630 1956 2445 2771 3260 4890 5542 8313 9780 11084 13855 15227 16626 27710 30454 33252 41565 45681 55420 60908 76135 83130 91362 152270 166260 182724 228405 258859 304540 456810 517718 776577 913620 1035436 1294295 1553154 2482001 2588590 3106308 3882885 4964002 5177180 7446003 7765770 9928004 12410005 14892006 15531540 24820010 29784012 37230015 42194017 49640020 74460030 84388034 126582051 148920060 168776068 210970085 253164102 421940170 506328204 632910255 843880340 1265820510 2531641020