2578407888 has 160 divisors (see below), whose sum is σ = 7967997952. Its totient is φ = 702950400.

The previous prime is 2578407851. The next prime is 2578407889. The reversal of 2578407888 is 8887048752.

2578407888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2578407888³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2578407889) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 758673 + ... + 762063.

Almost surely, 2^2578407888 is an apocalyptic number.

2578407888 is a gapful number since it is divisible by the number (28) 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 2578407888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3983998976).

2578407888 is an abundant number, since it is smaller than the sum of its proper divisors (5389590064).

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

2578407888 is a wasteful number, since it uses less digits than its factorization.

2578407888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3513 (or 3507 counting only the distinct ones).

The product of its (nonzero) digits is 8028160, while the sum is 57.

The square root of 2578407888 is about 50778.0256410192. The cubic root of 2578407888 is about 1371.2517885473.

The spelling of 2578407888 in words is "two billion, five hundred seventy-eight million, four hundred seven thousand, eight hundred eighty-eight".