2508832640 has 128 divisors (see below), whose sum is σ = 6412633920. Its totient is φ = 936263680.

The previous prime is 2508832603. The next prime is 2508832661. The reversal of 2508832640 is 462388052.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 2508832594 and 2508832603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 601442 + ... + 605598.

Almost surely, 2^2508832640 is an apocalyptic number.

2508832640 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 2508832640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3206316960).

2508832640 is an abundant number, since it is smaller than the sum of its proper divisors (3903801280).

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

2508832640 is a wasteful number, since it uses less digits than its factorization.

2508832640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4240 (or 4228 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 38.

The square root of 2508832640 is about 50088.2485219837. The cubic root of 2508832640 is about 1358.8052945204.

The spelling of 2508832640 in words is "two billion, five hundred eight million, eight hundred thirty-two thousand, six hundred forty".