2313211440 has 80 divisors (see below), whose sum is σ = 7202440800. Its totient is φ = 614148096.

The previous prime is 2313211423. The next prime is 2313211457. The reversal of 2313211440 is 441123132.

It is an interprime number because it is at equal distance from previous prime (2313211423) and next prime (2313211457).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2313211440² = 10701894332293747200, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 33916 + ... + 76004.

It is an arithmetic number, because the mean of its divisors is an integer number (90030510).

Almost surely, 2^2313211440 is an apocalyptic number.

2313211440 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 2313211440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3601220400).

2313211440 is an abundant number, since it is smaller than the sum of its proper divisors (4889229360).

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

2313211440 is a wasteful number, since it uses less digits than its factorization.

2313211440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42334 (or 42328 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2313211440 is about 48095.8567862139. The cubic root of 2313211440 is about 1322.5287155641.

Adding to 2313211440 its reverse (441123132), we get a palindrome (2754334572).

The spelling of 2313211440 in words is "two billion, three hundred thirteen million, two hundred eleven thousand, four hundred forty".