2508708960 has 144 divisors (see below), whose sum is σ = 8575008624. Its totient is φ = 667892736.

The previous prime is 2508708953. The next prime is 2508708991. The reversal of 2508708960 is 698078052.

2508708960 is a `hidden beast` number, since 2 + 508 + 7 + 0 + 89 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1270534 + ... + 1272506.

It is an arithmetic number, because the mean of its divisors is an integer number (59548671).

Almost surely, 2^2508708960 is an apocalyptic number.

2508708960 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 2508708960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4287504312).

2508708960 is an abundant number, since it is smaller than the sum of its proper divisors (6066299664).

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

2508708960 is a wasteful number, since it uses less digits than its factorization.

2508708960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2877 (or 2866 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 2508708960 is about 50087.0138858367. The cubic root of 2508708960 is about 1358.7829654369.

The spelling of 2508708960 in words is "two billion, five hundred eight million, seven hundred eight thousand, nine hundred sixty".