2508007680 has 432 divisors, whose sum is σ = 9133540416. Its totient is φ = 634798080.

The previous prime is 2508007661. The next prime is 2508007687. The reversal of 2508007680 is 867008052.

2508007680 is a `hidden beast` number, since 2 + 508 + 0 + 0 + 76 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2508007687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30216919 + ... + 30217001.

Almost surely, 2^2508007680 is an apocalyptic number.

2508007680 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 2508007680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4566770208).

2508007680 is an abundant number, since it is smaller than the sum of its proper divisors (6625532736).

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

2508007680 is a wasteful number, since it uses less digits than its factorization.

2508007680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 197 counting only the distinct ones).

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

The square root of 2508007680 is about 50080.0127795511. The cubic root of 2508007680 is about 1358.6563430538.

The spelling of 2508007680 in words is "two billion, five hundred eight million, seven thousand, six hundred eighty".