2252561705140 has 48 divisors (see below), whose sum is σ = 4826465081424. Its totient is φ = 882906624000.

The previous prime is 2252561705131. The next prime is 2252561705159. The reversal of 2252561705140 is 415071652522.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 18965696656 + 2233596008484 = 137716^2 + 1494522^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2252561705093 and 2252561705102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5552151 + ... + 5944030.

It is an arithmetic number, because the mean of its divisors is an integer number (100551355863).

Almost surely, 2^{2252561705140} is an apocalyptic number.

2252561705140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2252561705140 is an abundant number, since it is smaller than the sum of its proper divisors (2573903376284).

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

2252561705140 is a wasteful number, since it uses less digits than its factorization.

2252561705140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11496388 (or 11496386 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 40.

The spelling of 2252561705140 in words is "two trillion, two hundred fifty-two billion, five hundred sixty-one million, seven hundred five thousand, one hundred forty".