2753100900 has 405 divisors, whose sum is σ = 9998114203. Its totient is φ = 654825600.

The previous prime is 2753100871. The next prime is 2753100913. The reversal of 2753100900 is 90013572.

The square root of 2753100900 is 52470.

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 20738916 + 2732361984 = 4554^2 + 52272^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 51945274 + ... + 51945326.

Almost surely, 2^2753100900 is an apocalyptic number.

2753100900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2753100900 is the 52470-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2753100900

2753100900 is an abundant number, since it is smaller than the sum of its proper divisors (7245013303).

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

2753100900 is a wasteful number, since it uses less digits than its factorization.

2753100900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The cubic root of 2753100900 is about 1401.5460641130.

The spelling of 2753100900 in words is "two billion, seven hundred fifty-three million, one hundred thousand, nine hundred".