2575418400 has 432 divisors, whose sum is σ = 9821886984. Its totient is φ = 632586240.

The previous prime is 2575418359. The next prime is 2575418413. The reversal of 2575418400 is 48145752.

2575418400 is a `hidden beast` number, since 2 + 575 + 4 + 1 + 84 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 820478736 + 1754939664 = 28644^2 + 41892^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6487002 + ... + 6487398.

Almost surely, 2^2575418400 is an apocalyptic number.

2575418400 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 2575418400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4910943492).

2575418400 is an abundant number, since it is smaller than the sum of its proper divisors (7246468584).

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

2575418400 is a wasteful number, since it uses less digits than its factorization.

2575418400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 2575418400 is about 50748.5802757082. The cubic root of 2575418400 is about 1370.7216259730.

The spelling of 2575418400 in words is "two billion, five hundred seventy-five million, four hundred eighteen thousand, four hundred".