2409431640 has 128 divisors (see below), whose sum is σ = 9011934720. Its totient is φ = 500659200.

The previous prime is 2409431639. The next prime is 2409431653. The reversal of 2409431640 is 461349042.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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, 121141 + ... + 139620.

It is an arithmetic number, because the mean of its divisors is an integer number (70405740).

Almost surely, 2^2409431640 is an apocalyptic number.

2409431640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2409431640 is an abundant number, since it is smaller than the sum of its proper divisors (6602503080).

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

2409431640 is a wasteful number, since it uses less digits than its factorization.

2409431640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260793 (or 260789 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 2409431640 is about 49085.9617406036. The cubic root of 2409431640 is about 1340.6174551007.

The spelling of 2409431640 in words is "two billion, four hundred nine million, four hundred thirty-one thousand, six hundred forty".