2313411840 has 360 divisors, whose sum is σ = 8454028968. Its totient is φ = 603832320.

The previous prime is 2313411817. The next prime is 2313411847. The reversal of 2313411840 is 481143132.

It can be written as a sum of positive squares in 4 ways, for example, as 14017536 + 2299394304 = 3744^2 + 47952^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2313411847) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5494830 + ... + 5495250.

Almost surely, 2^2313411840 is an apocalyptic number.

2313411840 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 2313411840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4227014484).

2313411840 is an abundant number, since it is smaller than the sum of its proper divisors (6140617128).

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

2313411840 is an equidigital number, since it uses as much as digits as its factorization.

2313411840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2313411840 is about 48097.9400806313. The cubic root of 2313411840 is about 1322.5669059196.

Adding to 2313411840 its reverse (481143132), we get a palindrome (2794554972).

The spelling of 2313411840 in words is "two billion, three hundred thirteen million, four hundred eleven thousand, eight hundred forty".