2501682540 has 96 divisors (see below), whose sum is σ = 8083246080. Its totient is φ = 566251776.

The previous prime is 2501682511. The next prime is 2501682551. The reversal of 2501682540 is 452861052.

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, 14346 + ... + 72174.

It is an arithmetic number, because the mean of its divisors is an integer number (84200480).

Almost surely, 2^2501682540 is an apocalyptic number.

2501682540 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 2501682540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4041623040).

2501682540 is an abundant number, since it is smaller than the sum of its proper divisors (5581563540).

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

2501682540 is a wasteful number, since it uses less digits than its factorization.

2501682540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57951 (or 57949 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 2501682540 is about 50016.8225700114. The cubic root of 2501682540 is about 1357.5132144320.

The spelling of 2501682540 in words is "two billion, five hundred one million, six hundred eighty-two thousand, five hundred forty".