2872925798400 has 2880 divisors, whose sum is σ = 13339996185600. Its totient is φ = 591145205760.

The previous prime is 2872925798387. The next prime is 2872925798503. The reversal of 2872925798400 is 48975292782.

2872925798400 is a `hidden beast` number, since 2 + 8 + 7 + 2 + 92 + 57 + 98 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×2872925798400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 48693657571 + ... + 48693657629.

It is an arithmetic number, because the mean of its divisors is an integer number (4631943120).

Almost surely, 2^{2872925798400} is an apocalyptic number.

2872925798400 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 2872925798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6669998092800).

2872925798400 is an abundant number, since it is smaller than the sum of its proper divisors (10467070387200).

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

2872925798400 is a wasteful number, since it uses less digits than its factorization.

2872925798400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 2872925798400 in words is "two trillion, eight hundred seventy-two billion, nine hundred twenty-five million, seven hundred ninety-eight thousand, four hundred".