2313944064 has 176 divisors, whose sum is σ = 6917222400. Its totient is φ = 764080128.

The previous prime is 2313944041. The next prime is 2313944071. The reversal of 2313944064 is 4604493132.

It is a happy number.

2313944064 is a `hidden beast` number, since 23 + 139 + 440 + 64 = 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 15 ways as a sum of consecutive naturals, for example, 3510967 + ... + 3511625.

It is an arithmetic number, because the mean of its divisors is an integer number (39302400).

Almost surely, 2^2313944064 is an apocalyptic number.

2313944064 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 2313944064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3458611200).

2313944064 is an abundant number, since it is smaller than the sum of its proper divisors (4603278336).

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

2313944064 is a wasteful number, since it uses less digits than its factorization.

2313944064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 2313944064 is about 48103.4724734088. The cubic root of 2313944064 is about 1322.6683214802.

The spelling of 2313944064 in words is "two billion, three hundred thirteen million, nine hundred forty-four thousand, sixty-four".