2250005141200 has 60 divisors (see below), whose sum is σ = 5723616036780. Its totient is φ = 847060756480.

The previous prime is 2250005141179. The next prime is 2250005141207. The reversal of 2250005141200 is 21415000522.

2250005141200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 15781389376 + 2234223751824 = 125624^2 + 1494732^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2250005141207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 165434755 + ... + 165448354.

It is an arithmetic number, because the mean of its divisors is an integer number (95393600613).

Almost surely, 2^{2250005141200} is an apocalyptic number.

2250005141200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2250005141200 is an abundant number, since it is smaller than the sum of its proper divisors (3473610895580).

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

2250005141200 is a wasteful number, since it uses less digits than its factorization.

2250005141200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330883144 (or 330883133 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The spelling of 2250005141200 in words is "two trillion, two hundred fifty billion, five million, one hundred forty-one thousand, two hundred".