2330568624400 has 135 divisors (see below), whose sum is σ = 5757401386191. Its totient is φ = 906592446720.

The previous prime is 2330568624341. The next prime is 2330568624407. The reversal of 2330568624400 is 44268650332.

It is a happy number.

The square root of 2330568624400 is 1526620.

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

It can be written as a sum of positive squares in 4 ways, for example, as 221242292496 + 2109326331904 = 470364^2 + 1452352^2 .

It is a super-2 number, since 2×2330568624400² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2330568624407) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1129697769 + ... + 1129699831.

Almost surely, 2^{2330568624400} is an apocalyptic number.

2330568624400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2330568624400 is the 1526620-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2330568624400

2330568624400 is an abundant number, since it is smaller than the sum of its proper divisors (3426832761791).

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

2330568624400 is an frugal number, since it uses more digits than its factorization.

2330568624400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4218 (or 2107 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 43.

The spelling of 2330568624400 in words is "two trillion, three hundred thirty billion, five hundred sixty-eight million, six hundred twenty-four thousand, four hundred".