2508682440 has 256 divisors, whose sum is σ = 8573091840. Its totient is φ = 581760000.

The previous prime is 2508682403. The next prime is 2508682453. The reversal of 2508682440 is 442868052.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4132617 + ... + 4133223.

It is an arithmetic number, because the mean of its divisors is an integer number (33488640).

Almost surely, 2^2508682440 is an apocalyptic number.

2508682440 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 2508682440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4286545920).

2508682440 is an abundant number, since it is smaller than the sum of its proper divisors (6064409400).

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

2508682440 is a wasteful number, since it uses less digits than its factorization.

2508682440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The square root of 2508682440 is about 50086.7491458569. The cubic root of 2508682440 is about 1358.7781774428.

The spelling of 2508682440 in words is "two billion, five hundred eight million, six hundred eighty-two thousand, four hundred forty".