2312661120 has 256 divisors, whose sum is σ = 9191162880. Its totient is φ = 480522240.

The previous prime is 2312661107. The next prime is 2312661139. The reversal of 2312661120 is 211662132.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140019 + ... + 155661.

It is an arithmetic number, because the mean of its divisors is an integer number (35902980).

Almost surely, 2^2312661120 is an apocalyptic number.

2312661120 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 2312661120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4595581440).

2312661120 is an abundant number, since it is smaller than the sum of its proper divisors (6878501760).

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

2312661120 is a wasteful number, since it uses less digits than its factorization.

2312661120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15683 (or 15671 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 2312661120 is about 48090.1353709885. The cubic root of 2312661120 is about 1322.4238293852.

The spelling of 2312661120 in words is "two billion, three hundred twelve million, six hundred sixty-one thousand, one hundred twenty".