2252663664 has 60 divisors (see below), whose sum is σ = 5935488408. Its totient is φ = 735937280.

The previous prime is 2252663657. The next prime is 2252663681. The reversal of 2252663664 is 4663662522.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2393434 + ... + 2394374.

Almost surely, 2^2252663664 is an apocalyptic number.

2252663664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2252663664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2967744204).

2252663664 is an abundant number, since it is smaller than the sum of its proper divisors (3682824744).

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

2252663664 is an frugal number, since it uses more digits than its factorization.

2252663664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1946 (or 999 counting only the distinct ones).

The product of its digits is 622080, while the sum is 42.

The square root of 2252663664 is about 47462.2340814252. The cubic root of 2252663664 is about 1310.8875875921.

The spelling of 2252663664 in words is "two billion, two hundred fifty-two million, six hundred sixty-three thousand, six hundred sixty-four".