2508768000 has 432 divisors, whose sum is σ = 9351643392. Its totient is φ = 645120000.

The previous prime is 2508767959. The next prime is 2508768007. The reversal of 2508768000 is 8678052.

2508768000 is a `hidden beast` number, since 2 + 508 + 76 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2508768007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8927860 + ... + 8928140.

Almost surely, 2^2508768000 is an apocalyptic number.

2508768000 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 2508768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4675821696).

2508768000 is an abundant number, since it is smaller than the sum of its proper divisors (6842875392).

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

2508768000 is a wasteful number, since it uses less digits than its factorization.

2508768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 322 counting only the distinct ones).

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

The square root of 2508768000 is about 50087.6032566942. The cubic root of 2508768000 is about 1358.7936245605.

The spelling of 2508768000 in words is "two billion, five hundred eight million, seven hundred sixty-eight thousand".