2314215440000 has 160 divisors (see below), whose sum is σ = 6099986207700. Its totient is φ = 871233536000.

The previous prime is 2314215439993. The next prime is 2314215440011. The reversal of 2314215440000 is 445124132.

2314215440000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 2574953536 + 2311640486464 = 50744^2 + 1520408^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 509186 + ... + 2210814.

Almost surely, 2^{2314215440000} is an apocalyptic number.

2314215440000 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 2314215440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3049993103850).

2314215440000 is an abundant number, since it is smaller than the sum of its proper divisors (3785770767700).

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

2314215440000 is an equidigital number, since it uses as much as digits as its factorization.

2314215440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1701680 (or 1701653 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The spelling of 2314215440000 in words is "two trillion, three hundred fourteen billion, two hundred fifteen million, four hundred forty thousand".