2330116766784 has 441 divisors, whose sum is σ = 7162496434821. Its totient is φ = 751756930560.

The previous prime is 2330116766779. The next prime is 2330116766851. The reversal of 2330116766784 is 4876676110332.

It is a happy number.

The square root of 2330116766784 is 1526472.

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., 2085020481600 + 245096285184 = 1443960^2 + 495072^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2330116766784.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 12199564129 + ... + 12199564319.

Almost surely, 2^{2330116766784} is an apocalyptic number.

2330116766784 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2330116766784 is the 1526472-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2330116766784

2330116766784 is an abundant number, since it is smaller than the sum of its proper divisors (4832379668037).

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

2330116766784 is an frugal number, since it uses more digits than its factorization.

2330116766784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 2330116766784 in words is "two trillion, three hundred thirty billion, one hundred sixteen million, seven hundred sixty-six thousand, seven hundred eighty-four".