2159635984900 has 81 divisors (see below), whose sum is σ = 4714673886741. Its totient is φ = 858675629280.

The previous prime is 2159635984889. The next prime is 2159635984907. The reversal of 2159635984900 is 94895369512.

The square root of 2159635984900 is 1469570.

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., 777468954564 + 1382167030336 = 881742^2 + 1175656^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2159635984907) 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, 3277140771 + ... + 3277141429.

Almost surely, 2^{2159635984900} is an apocalyptic number.

2159635984900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2159635984900 is the 1469570-th square number.

It is an amenable number.

2159635984900 is an abundant number, since it is smaller than the sum of its proper divisors (2555037901841).

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

2159635984900 is an frugal number, since it uses more digits than its factorization.

2159635984900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1778 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 20995200, while the sum is 61.

The spelling of 2159635984900 in words is "two trillion, one hundred fifty-nine billion, six hundred thirty-five million, nine hundred eighty-four thousand, nine hundred".