2328401328100 has 81 divisors (see below), whose sum is σ = 5078958957723. Its totient is φ = 926532552000.

The previous prime is 2328401328089. The next prime is 2328401328109. The reversal of 2328401328100 is 18231048232.

It is a happy number.

The square root of 2328401328100 is 1525910.

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 238040555236 + 2090360772864 = 487894^2 + 1445808^2 .

It is a super-2 number, since 2×2328401328100² (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 (2328401328109) 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, 5050761870 + ... + 5050762330.

Almost surely, 2^{2328401328100} is an apocalyptic number.

2328401328100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2328401328100 is the 1525910-th square number.

It is an amenable number.

2328401328100 is an abundant number, since it is smaller than the sum of its proper divisors (2750557629623).

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

2328401328100 is an frugal number, since it uses more digits than its factorization.

2328401328100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1598 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

It can be divided in two parts, 232840132 and 8100, that added together give a palindrome (232848232).

The spelling of 2328401328100 in words is "two trillion, three hundred twenty-eight billion, four hundred one million, three hundred twenty-eight thousand, one hundred".