2136333024400 has 135 divisors (see below), whose sum is σ = 5188552744921. Its totient is φ = 845307464320.

The previous prime is 2136333024373. The next prime is 2136333024401. The reversal of 2136333024400 is 44203336312.

The square root of 2136333024400 is 1461620.

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., 769079888784 + 1367253135616 = 876972^2 + 1169296^2 .

It is a super-2 number, since 2×2136333024400² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2136333024401) 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, 3127866459 + ... + 3127867141.

Almost surely, 2^{2136333024400} is an apocalyptic number.

2136333024400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2136333024400 is the 1461620-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2136333024400

2136333024400 is an abundant number, since it is smaller than the sum of its proper divisors (3052219720521).

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

2136333024400 is an frugal number, since it uses more digits than its factorization.

2136333024400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1598 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 31.

The spelling of 2136333024400 in words is "two trillion, one hundred thirty-six billion, three hundred thirty-three million, twenty-four thousand, four hundred".