2575478400 has 384 divisors, whose sum is σ = 9584654400. Its totient is φ = 602828800.

The previous prime is 2575478309. The next prime is 2575478401. The reversal of 2575478400 is 48745752.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (2575478401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88809586 + ... + 88809614.

Almost surely, 2^2575478400 is an apocalyptic number.

2575478400 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 2575478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4792327200).

2575478400 is an abundant number, since it is smaller than the sum of its proper divisors (7009176000).

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

2575478400 is an equidigital number, since it uses as much as digits as its factorization.

2575478400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 42.

The square root of 2575478400 is about 50749.1714218075. The cubic root of 2575478400 is about 1370.7322705423.

The spelling of 2575478400 in words is "two billion, five hundred seventy-five million, four hundred seventy-eight thousand, four hundred".