2431132704 has 480 divisors, whose sum is σ = 9610102656. Its totient is φ = 582266880.

The previous prime is 2431132703. The next prime is 2431132751. The reversal of 2431132704 is 4072311342.

It is a happy number.

2431132704 is a `hidden beast` number, since 24 + 311 + 327 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2431132703) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2594124 + ... + 2595060.

Almost surely, 2^2431132704 is an apocalyptic number.

2431132704 is a gapful number since it is divisible by the number (24) 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 2431132704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4805051328).

2431132704 is an abundant number, since it is smaller than the sum of its proper divisors (7178969952).

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

2431132704 is a wasteful number, since it uses less digits than its factorization.

2431132704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2431132704 is about 49306.5178652884. The cubic root of 2431132704 is about 1344.6302847314.

The spelling of 2431132704 in words is "two billion, four hundred thirty-one million, one hundred thirty-two thousand, seven hundred four".