2575402880400 has 720 divisors, whose sum is σ = 10480519620480. Its totient is φ = 573358694400.

The previous prime is 2575402880353. The next prime is 2575402880443. The reversal of 2575402880400 is 40882045752.

2575402880400 is a `hidden beast` number, since 2 + 5 + 7 + 540 + 28 + 80 + 4 + 0 + 0 = 666.

2575402880400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 763533114 + ... + 763536486.

Almost surely, 2^{2575402880400} is an apocalyptic number.

2575402880400 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 2575402880400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5240259810240).

2575402880400 is an abundant number, since it is smaller than the sum of its proper divisors (7905116740080).

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

2575402880400 is a wasteful number, since it uses less digits than its factorization.

2575402880400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4184 (or 4170 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The spelling of 2575402880400 in words is "two trillion, five hundred seventy-five billion, four hundred two million, eight hundred eighty thousand, four hundred".