2531002640 has 80 divisors (see below), whose sum is σ = 6044613120. Its totient is φ = 985121280.

The previous prime is 2531002633. The next prime is 2531002679. The reversal of 2531002640 is 462001352.

It is a tau number, because it is divible by the number of its divisors (80).

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, 678701 + ... + 682419.

It is an arithmetic number, because the mean of its divisors is an integer number (75557664).

Almost surely, 2^2531002640 is an apocalyptic number.

2531002640 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 2531002640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3022306560).

2531002640 is an abundant number, since it is smaller than the sum of its proper divisors (3513610480).

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

2531002640 is a wasteful number, since it uses less digits than its factorization.

2531002640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3960 (or 3954 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 2531002640 is about 50309.0711502409. The cubic root of 2531002640 is about 1362.7960498002.

Adding to 2531002640 its reverse (462001352), we get a palindrome (2993003992).

The spelling of 2531002640 in words is "two billion, five hundred thirty-one million, two thousand, six hundred forty".