2312764920 has 256 divisors, whose sum is σ = 8177356800. Its totient is φ = 580400640.

The previous prime is 2312764913. The next prime is 2312764939. The reversal of 2312764920 is 294672132.

2312764920 is a `hidden beast` number, since 2 + 3 + 1 + 2 + 7 + 649 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1237827 + ... + 1239693.

It is an arithmetic number, because the mean of its divisors is an integer number (31942800).

Almost surely, 2^2312764920 is an apocalyptic number.

2312764920 is a gapful number since it is divisible by the number (20) 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 2312764920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4088678400).

2312764920 is an abundant number, since it is smaller than the sum of its proper divisors (5864591880).

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

2312764920 is a wasteful number, since it uses less digits than its factorization.

2312764920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1955 (or 1945 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 2312764920 is about 48091.2145822914. The cubic root of 2312764920 is about 1322.4436140305.

It can be divided in two parts, 231276 and 4920, that added together give a square (236196 = 486²).

The spelling of 2312764920 in words is "two billion, three hundred twelve million, seven hundred sixty-four thousand, nine hundred twenty".