2578404100 has 18 divisors (see below), whose sum is σ = 5595137114. Its totient is φ = 1031361600.

The previous prime is 2578404097. The next prime is 2578404107. The reversal of 2578404100 is 14048752.

It can be written as a sum of positive squares in 3 ways, for example, as 76003524 + 2502400576 = 8718^2 + 50024^2 .

It is not an unprimeable number, because it can be changed into a prime (2578404107) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12891921 + ... + 12892120.

Almost surely, 2^2578404100 is an apocalyptic number.

2578404100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2578404100 is an abundant number, since it is smaller than the sum of its proper divisors (3016733014).

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

2578404100 is a wasteful number, since it uses less digits than its factorization.

2578404100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25784055 (or 25784048 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 31.

The square root of 2578404100 is about 50777.9883414064. The cubic root of 2578404100 is about 1371.2511170341.

The spelling of 2578404100 in words is "two billion, five hundred seventy-eight million, four hundred four thousand, one hundred".