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2625064960 = 2125718311
BaseRepresentation
bin1001110001110111…
…0101000000000000
320202221112010011011
42130131311000000
520334004034320
61112252130304
7122023453420
oct23435650000
96687463134
102625064960
111127865181
12613166994
1332ab0a89b
141ac8c8480
151056d205a
hex9c775000

2625064960 has 104 divisors (see below), whose sum is σ = 7199692416. Its totient is φ = 899973120.

The previous prime is 2625064943. The next prime is 2625064961. The reversal of 2625064960 is 694605262.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2625064961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134205 + ... + 152515.

Almost surely, 22625064960 is an apocalyptic number.

2625064960 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 2625064960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3599846208).

2625064960 is an abundant number, since it is smaller than the sum of its proper divisors (4574627456).

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

2625064960 is an equidigital number, since it uses as much as digits as its factorization.

2625064960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18347 (or 18325 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The square root of 2625064960 is about 51235.3877705634. The cubic root of 2625064960 is about 1379.4734671262.

The spelling of 2625064960 in words is "two billion, six hundred twenty-five million, sixty-four thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 896 1024 1120 1280 1792 2048 2240 2560 3584 4096 4480 5120 7168 8960 10240 14336 17920 18311 20480 28672 35840 36622 71680 73244 91555 128177 143360 146488 183110 256354 292976 366220 512708 585952 640885 732440 1025416 1171904 1281770 1464880 2050832 2343808 2563540 2929760 4101664 4687616 5127080 5859520 8203328 9375232 10254160 11719040 16406656 18750464 20508320 23438080 32813312 37500928 41016640 46876160 65626624 75001856 82033280 93752320 131253248 164066560 187504640 262506496 328133120 375009280 525012992 656266240 1312532480 2625064960