2252365417664 has 56 divisors (see below), whose sum is σ = 4736343008880. Its totient is φ = 1059065102336.

The previous prime is 2252365417657. The next prime is 2252365417693. The reversal of 2252365417664 is 4667145632522.

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 7 ways as a sum of consecutive naturals, for example, 473567 + ... + 2174625.

It is an arithmetic number, because the mean of its divisors is an integer number (84577553730).

Almost surely, 2^{2252365417664} 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 2252365417664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2368171504440).

2252365417664 is an abundant number, since it is smaller than the sum of its proper divisors (2483977591216).

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

2252365417664 is a wasteful number, since it uses less digits than its factorization.

2252365417664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1702305 (or 1702295 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 53.

The spelling of 2252365417664 in words is "two trillion, two hundred fifty-two billion, three hundred sixty-five million, four hundred seventeen thousand, six hundred sixty-four".