2578262400 has 960 divisors, whose sum is σ = 11478060000. Its totient is φ = 568995840.

The previous prime is 2578262389. The next prime is 2578262447. The reversal of 2578262400 is 42628752.

2578262400 is a `hidden beast` number, since 25 + 7 + 8 + 2 + 624 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 88905586 + ... + 88905614.

Almost surely, 2^2578262400 is an apocalyptic number.

2578262400 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 2578262400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5739030000).

2578262400 is an abundant number, since it is smaller than the sum of its proper divisors (8899797600).

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

2578262400 is an equidigital number, since it uses as much as digits as its factorization.

2578262400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2578262400 is about 50776.5930326169. The cubic root of 2578262400 is about 1371.2259968648.

The spelling of 2578262400 in words is "two billion, five hundred seventy-eight million, two hundred sixty-two thousand, four hundred".