2314757640000 has 280 divisors, whose sum is σ = 8241836643040. Its totient is φ = 569786112000.

The previous prime is 2314757639993. The next prime is 2314757640049. The reversal of 2314757640000 is 467574132.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 818091 + ... + 2301909.

It is an arithmetic number, because the mean of its divisors is an integer number (29435130868).

Almost surely, 2^{2314757640000} is an apocalyptic number.

2314757640000 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 2314757640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4120918321520).

2314757640000 is an abundant number, since it is smaller than the sum of its proper divisors (5927079003040).

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

2314757640000 is a wasteful number, since it uses less digits than its factorization.

2314757640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1483867 (or 1483842 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 39.

The spelling of 2314757640000 in words is "two trillion, three hundred fourteen billion, seven hundred fifty-seven million, six hundred forty thousand".