2049220880100 has 81 divisors (see below), whose sum is σ = 6423303615547. Its totient is φ = 546447449280.

The previous prime is 2049220880029. The next prime is 2049220880111. The reversal of 2049220880100 is 10880229402.

The square root of 2049220880100 is 1431510.

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 267700690404 + 1781520189696 = 517398^2 + 1334736^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 42921442 + ... + 42969158.

Almost surely, 2^{2049220880100} is an apocalyptic number.

2049220880100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2049220880100 is the 1431510-th square number.

It is an amenable number.

2049220880100 is an abundant number, since it is smaller than the sum of its proper divisors (4374082735447).

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

2049220880100 is an frugal number, since it uses more digits than its factorization.

2049220880100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95454 (or 47727 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

Multiplying 2049220880100 by its sum of digits (36), we get a square (73771951683600 = 8589060²).

2049220880100 divided by its sum of digits (36) gives a square (56922802225 = 238585²).

The spelling of 2049220880100 in words is "two trillion, forty-nine billion, two hundred twenty million, eight hundred eighty thousand, one hundred".