2253431664 has 200 divisors, whose sum is σ = 7345958400. Its totient is φ = 660700800.

The previous prime is 2253431659. The next prime is 2253431707. The reversal of 2253431664 is 4661343522.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 439387 + ... + 444485.

It is an arithmetic number, because the mean of its divisors is an integer number (36729792).

Almost surely, 2^2253431664 is an apocalyptic number.

2253431664 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 2253431664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3672979200).

2253431664 is an abundant number, since it is smaller than the sum of its proper divisors (5092526736).

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

2253431664 is a wasteful number, since it uses less digits than its factorization.

2253431664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5161 (or 5146 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 2253431664 is about 47470.3240351275. The cubic root of 2253431664 is about 1311.0365441798.

The spelling of 2253431664 in words is "two billion, two hundred fifty-three million, four hundred thirty-one thousand, six hundred sixty-four".