2875981550400 has 2688 divisors, whose sum is σ = 13062021120000. Its totient is φ = 601509888000.

The previous prime is 2875981550381. The next prime is 2875981550417. The reversal of 2875981550400 is 40551895782.

2875981550400 is a `hidden beast` number, since 2 + 8 + 7 + 5 + 9 + 81 + 550 + 4 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 19301889526 + ... + 19301889674.

Almost surely, 2^{2875981550400} is an apocalyptic number.

2875981550400 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 2875981550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6531010560000).

2875981550400 is an abundant number, since it is smaller than the sum of its proper divisors (10186039569600).

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

2875981550400 is a wasteful number, since it uses less digits than its factorization.

2875981550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 54.

The spelling of 2875981550400 in words is "two trillion, eight hundred seventy-five billion, nine hundred eighty-one million, five hundred fifty thousand, four hundred".