2252141413552 has 80 divisors (see below), whose sum is σ = 4702620441600. Its totient is φ = 1041499468800.

The previous prime is 2252141413541. The next prime is 2252141413619. The reversal of 2252141413552 is 2553141412522.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5532949 + ... + 5926027.

It is an arithmetic number, because the mean of its divisors is an integer number (58782755520).

Almost surely, 2^{2252141413552} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2252141413552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2351310220800).

2252141413552 is an abundant number, since it is smaller than the sum of its proper divisors (2450479028048).

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

2252141413552 is a wasteful number, since it uses less digits than its factorization.

2252141413552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393554 (or 393548 counting only the distinct ones).

The product of its digits is 96000, while the sum is 37.

The spelling of 2252141413552 in words is "two trillion, two hundred fifty-two billion, one hundred forty-one million, four hundred thirteen thousand, five hundred fifty-two".