2253382741800 has 72 divisors (see below), whose sum is σ = 7567610380590. Its totient is φ = 600902064000.

The previous prime is 2253382741783. The next prime is 2253382741807. The reversal of 2253382741800 is 81472833522.

2253382741800 is a `hidden beast` number, since 2 + 25 + 3 + 382 + 74 + 180 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1745204807844 + 508177933956 = 1321062^2 + 712866^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2253382741807) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 625937851 + ... + 625941450.

Almost surely, 2^{2253382741800} is an apocalyptic number.

2253382741800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2253382741800 is an abundant number, since it is smaller than the sum of its proper divisors (5314227638790).

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

2253382741800 is a wasteful number, since it uses less digits than its factorization.

2253382741800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1251879323 (or 1251879311 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 2253382741800 in words is "two trillion, two hundred fifty-three billion, three hundred eighty-two million, seven hundred forty-one thousand, eight hundred".