2315413440 has 84 divisors (see below), whose sum is σ = 7964067384. Its totient is φ = 617442816.

The previous prime is 2315413439. The next prime is 2315413453. The reversal of 2315413440 is 443145132.

It is a happy number.

2315413440 is a `hidden beast` number, since 2 + 315 + 4 + 1 + 344 + 0 = 666.

It is a super-2 number, since 2×2315413440² = 10722278796265267200, which contains 22 as substring.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 399102 + ... + 404861.

It is an arithmetic number, because the mean of its divisors is an integer number (94810326).

Almost surely, 2^2315413440 is an apocalyptic number.

2315413440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2315413440 is an abundant number, since it is smaller than the sum of its proper divisors (5648653944).

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

2315413440 is a wasteful number, since it uses less digits than its factorization.

2315413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803986 (or 803973 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2315413440 is about 48118.7431257301. The cubic root of 2315413440 is about 1322.9482311351.

Adding to 2315413440 its reverse (443145132), we get a palindrome (2758558572).

The spelling of 2315413440 in words is "two billion, three hundred fifteen million, four hundred thirteen thousand, four hundred forty".