2129760796900 has 81 divisors (see below), whose sum is σ = 5080302461577. Its totient is φ = 774400096800.

The previous prime is 2129760796873. The next prime is 2129760796939. The reversal of 2129760796900 is 96970679212.

The square root of 2129760796900 is 1459370.

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., 766713886884 + 1363046910016 = 875622^2 + 1167496^2 .

It is a super-2 number, since 2×2129760796900² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 160524067 + ... + 160537333.

Almost surely, 2^{2129760796900} is an apocalyptic number.

2129760796900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2129760796900 is the 1459370-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2129760796900

2129760796900 is an abundant number, since it is smaller than the sum of its proper divisors (2950541664677).

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

2129760796900 is an equidigital number, since it uses as much as digits as its factorization.

2129760796900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26570 (or 13285 counting only the distinct ones).

The product of its (nonzero) digits is 5143824, while the sum is 58.

The spelling of 2129760796900 in words is "two trillion, one hundred twenty-nine billion, seven hundred sixty million, seven hundred ninety-six thousand, nine hundred".