2252416626 has 64 divisors (see below), whose sum is σ = 5231001600. Its totient is φ = 717707088.

The previous prime is 2252416609. The next prime is 2252416667. The reversal of 2252416626 is 6266142522.

2252416626 is a `hidden beast` number, since 2 + 2 + 5 + 24 + 1 + 6 + 626 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98815 + ... + 119453.

It is an arithmetic number, because the mean of its divisors is an integer number (81734400).

Almost surely, 2^2252416626 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2252416626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2615500800).

2252416626 is an abundant number, since it is smaller than the sum of its proper divisors (2978584974).

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

2252416626 is a wasteful number, since it uses less digits than its factorization.

2252416626 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20740 (or 20734 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 2252416626 is about 47459.6315409212. The cubic root of 2252416626 is about 1310.8396664146.

The spelling of 2252416626 in words is "two billion, two hundred fifty-two million, four hundred sixteen thousand, six hundred twenty-six".