2312457984 has 126 divisors (see below), whose sum is σ = 6921217016. Its totient is φ = 770757120.

The previous prime is 2312457971. The next prime is 2312458003. The reversal of 2312457984 is 4897542132.

It is a congruent number.

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 13 ways as a sum of consecutive naturals, for example, 180429 + ... + 192819.

Almost surely, 2^2312457984 is an apocalyptic number.

2312457984 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 2312457984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3460608508).

2312457984 is an abundant number, since it is smaller than the sum of its proper divisors (4608759032).

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

2312457984 is an frugal number, since it uses more digits than its factorization.

2312457984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12425 (or 12396 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 2312457984 is about 48088.0232906282. The cubic root of 2312457984 is about 1322.3851092358.

It can be divided in two parts, 2312457 and 984, that added together give a 4-th power (2313441 = 39⁴).

The spelling of 2312457984 in words is "two billion, three hundred twelve million, four hundred fifty-seven thousand, nine hundred eighty-four".