2508656640 has 416 divisors, whose sum is σ = 9687659520. Its totient is φ = 541458432.

The previous prime is 2508656603. The next prime is 2508656651. The reversal of 2508656640 is 466568052.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2508656592 and 2508656601.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8171367 + ... + 8171673.

Almost surely, 2^2508656640 is an apocalyptic number.

2508656640 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 2508656640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4843829760).

2508656640 is an abundant number, since it is smaller than the sum of its proper divisors (7179002880).

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

2508656640 is a wasteful number, since it uses less digits than its factorization.

2508656640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The square root of 2508656640 is about 50086.4915920451. The cubic root of 2508656640 is about 1358.7735194071.

The spelling of 2508656640 in words is "two billion, five hundred eight million, six hundred fifty-six thousand, six hundred forty".