2366120768400 has 405 divisors, whose sum is σ = 8494786516593. Its totient is φ = 609873465600.

The previous prime is 2366120768357. The next prime is 2366120768411. The reversal of 2366120768400 is 48670216632.

The square root of 2366120768400 is 1538220.

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

2366120768400 is a `hidden beast` number, since 2 + 3 + 66 + 120 + 7 + 68 + 400 = 666.

2366120768400 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 only one way, i.e., 851803476624 + 1514317291776 = 922932^2 + 1230576^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2861088787 + ... + 2861089613.

Almost surely, 2^{2366120768400} is an apocalyptic number.

2366120768400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2366120768400 is the 1538220-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2366120768400

2366120768400 is an abundant number, since it is smaller than the sum of its proper divisors (6128665748193).

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

2366120768400 is an equidigital number, since it uses as much as digits as its factorization.

2366120768400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1740 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 2366120768400 in words is "two trillion, three hundred sixty-six billion, one hundred twenty million, seven hundred sixty-eight thousand, four hundred".