2508427116 has 180 divisors, whose sum is σ = 7226766624. Its totient is φ = 758160000.

The previous prime is 2508427091. The next prime is 2508427133. The reversal of 2508427116 is 6117248052.

2508427116 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 59 ways as a sum of consecutive naturals, for example, 3339741 + ... + 3340491.

Almost surely, 2^2508427116 is an apocalyptic number.

2508427116 is a gapful number since it is divisible by the number (26) 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 2508427116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3613383312).

2508427116 is an abundant number, since it is smaller than the sum of its proper divisors (4718339508).

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

2508427116 is a wasteful number, since it uses less digits than its factorization.

2508427116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 2508427116 is about 50084.2002631568. The cubic root of 2508427116 is about 1358.7320788156.

The spelling of 2508427116 in words is "two billion, five hundred eight million, four hundred twenty-seven thousand, one hundred sixteen".