2431652640 has 96 divisors (see below), whose sum is σ = 7698499200. Its totient is φ = 645156864.

The previous prime is 2431652633. The next prime is 2431652653. The reversal of 2431652640 is 462561342.

It is a tau number, because it is divible by the number of its divisors (96).

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, 82792 + ... + 108248.

It is an arithmetic number, because the mean of its divisors is an integer number (80192700).

Almost surely, 2^2431652640 is an apocalyptic number.

2431652640 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 2431652640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3849249600).

2431652640 is an abundant number, since it is smaller than the sum of its proper divisors (5266846560).

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

2431652640 is a wasteful number, since it uses less digits than its factorization.

2431652640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25674 (or 25666 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 2431652640 is about 49311.7900709354. The cubic root of 2431652640 is about 1344.7261346833.

The spelling of 2431652640 in words is "two billion, four hundred thirty-one million, six hundred fifty-two thousand, six hundred forty".