2925956800 has 336 divisors, whose sum is σ = 8222723712. Its totient is φ = 1017446400.

The previous prime is 2925956797. The next prime is 2925956857. The reversal of 2925956800 is 86595292.

It is a happy number.

It is a super-2 number, since 2×2925956800² = 17122446390932480000, which contains 22 as substring.

It is a cake number, because a cake can be divided into 2925956800 parts by 2599 planar cuts.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40081564 + ... + 40081636.

It is an arithmetic number, because the mean of its divisors is an integer number (24472392).

Almost surely, 2^2925956800 is an apocalyptic number.

2925956800 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 2925956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4111361856).

2925956800 is an abundant number, since it is smaller than the sum of its proper divisors (5296766912).

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

2925956800 is a wasteful number, since it uses less digits than its factorization.

2925956800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 46.

The square root of 2925956800 is about 54092.1140278322. The cubic root of 2925956800 is about 1430.2851730481.

The spelling of 2925956800 in words is "two billion, nine hundred twenty-five million, nine hundred fifty-six thousand, eight hundred".