2320077312400 has 45 divisors (see below), whose sum is σ = 5574058932801. Its totient is φ = 928018739520.

The previous prime is 2320077312359. The next prime is 2320077312407. The reversal of 2320077312400 is 42137700232.

The square root of 2320077312400 is 1523180.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 835227832464 + 1484849479936 = 913908^2 + 1218544^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2320077312407) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 30425521 + ... + 30501679.

Almost surely, 2^{2320077312400} is an apocalyptic number.

2320077312400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2320077312400 is the 1523180-th square number.

It is an amenable number.

2320077312400 is an abundant number, since it is smaller than the sum of its proper divisors (3253981620401).

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

2320077312400 is an frugal number, since it uses more digits than its factorization.

2320077312400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152336 (or 76166 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 31.

The spelling of 2320077312400 in words is "two trillion, three hundred twenty billion, seventy-seven million, three hundred twelve thousand, four hundred".