2508764064 has 48 divisors (see below), whose sum is σ = 6588140832. Its totient is φ = 835920128.

The previous prime is 2508764033. The next prime is 2508764081. The reversal of 2508764064 is 4604678052.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 393607 + ... + 399929.

It is an arithmetic number, because the mean of its divisors is an integer number (137252934).

Almost surely, 2^2508764064 is an apocalyptic number.

2508764064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2508764064 is an abundant number, since it is smaller than the sum of its proper divisors (4079376768).

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

2508764064 is a wasteful number, since it uses less digits than its factorization.

2508764064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10469 (or 10461 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The square root of 2508764064 is about 50087.5639655194. The cubic root of 2508764064 is about 1358.7929139575.

The spelling of 2508764064 in words is "two billion, five hundred eight million, seven hundred sixty-four thousand, sixty-four".