2315214343440 has 120 divisors (see below), whose sum is σ = 8043374041560. Its totient is φ = 596101158912.

The previous prime is 2315214343433. The next prime is 2315214343457. The reversal of 2315214343440 is 443434125132.

2315214343440 is a `hidden beast` number, since 2 + 3 + 1 + 5 + 214 + 3 + 434 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 264636167184 + 2050578176256 = 514428^2 + 1431984^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2315214343395 and 2315214343404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55420077 + ... + 55461836.

It is an arithmetic number, because the mean of its divisors is an integer number (67028117013).

Almost surely, 2^{2315214343440} is an apocalyptic number.

2315214343440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2315214343440 is an abundant number, since it is smaller than the sum of its proper divisors (5728159698120).

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

2315214343440 is a wasteful number, since it uses less digits than its factorization.

2315214343440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110881961 (or 110881952 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 2315214343440 its reverse (443434125132), we get a palindrome (2758648468572).

The spelling of 2315214343440 in words is "two trillion, three hundred fifteen billion, two hundred fourteen million, three hundred forty-three thousand, four hundred forty".