2131432464 has 80 divisors (see below), whose sum is σ = 6624020480. Its totient is φ = 576927360.

The previous prime is 2131432451. The next prime is 2131432481. The reversal of 2131432464 is 4642341312.

It is a super-4 number, since 4×2131432464⁴ (a number of 38 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160552 + ... + 173319.

It is an arithmetic number, because the mean of its divisors is an integer number (82800256).

Almost surely, 2^2131432464 is an apocalyptic number.

2131432464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2131432464 is an abundant number, since it is smaller than the sum of its proper divisors (4492588016).

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

2131432464 is a wasteful number, since it uses less digits than its factorization.

2131432464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333908 (or 333902 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 2131432464 is about 46167.4394351690. The cubic root of 2131432464 is about 1286.9367181142.

Adding to 2131432464 its reverse (4642341312), we get a palindrome (6773773776).

The spelling of 2131432464 in words is "two billion, one hundred thirty-one million, four hundred thirty-two thousand, four hundred sixty-four".