2312628864 has 384 divisors, whose sum is σ = 8066486400. Its totient is φ = 571539456.

The previous prime is 2312628853. The next prime is 2312628953. The reversal of 2312628864 is 4688262132.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10098702 + ... + 10098930.

It is an arithmetic number, because the mean of its divisors is an integer number (21006475).

Almost surely, 2^2312628864 is an apocalyptic number.

2312628864 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 2312628864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4033243200).

2312628864 is an abundant number, since it is smaller than the sum of its proper divisors (5753857536).

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

2312628864 is a wasteful number, since it uses less digits than its factorization.

2312628864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 271 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The square root of 2312628864 is about 48089.7999995841. The cubic root of 2312628864 is about 1322.4176811576.

It can be divided in two parts, 2312 and 628864, that multiplied together give a 5-th power (1453933568 = 68⁵).

The spelling of 2312628864 in words is "two billion, three hundred twelve million, six hundred twenty-eight thousand, eight hundred sixty-four".