2578552704 has 384 divisors, whose sum is σ = 9481006080. Its totient is φ = 679311360.

The previous prime is 2578552699. The next prime is 2578552733. The reversal of 2578552704 is 4072558752.

2578552704 is a `hidden beast` number, since 2 + 578 + 5 + 5 + 2 + 70 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2578552704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2830009 + ... + 2830919.

It is an arithmetic number, because the mean of its divisors is an integer number (24690120).

Almost surely, 2^2578552704 is an apocalyptic number.

2578552704 is a gapful number since it is divisible by the number (24) 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 2578552704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4740503040).

2578552704 is an abundant number, since it is smaller than the sum of its proper divisors (6902453376).

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

2578552704 is an equidigital number, since it uses as much as digits as its factorization.

2578552704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 784000, while the sum is 45.

The square root of 2578552704 is about 50779.4515921549. The cubic root of 2578552704 is about 1371.2774601361.

The spelling of 2578552704 in words is "two billion, five hundred seventy-eight million, five hundred fifty-two thousand, seven hundred four".