2255774664 has 128 divisors (see below), whose sum is σ = 6706022400. Its totient is φ = 623304960.

The previous prime is 2255774641. The next prime is 2255774779. The reversal of 2255774664 is 4664775522.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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, 280897 + ... + 288815.

It is an arithmetic number, because the mean of its divisors is an integer number (52390800).

Almost surely, 2^2255774664 is an apocalyptic number.

2255774664 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 2255774664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3353011200).

2255774664 is an abundant number, since it is smaller than the sum of its proper divisors (4450247736).

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

2255774664 is a wasteful number, since it uses less digits than its factorization.

2255774664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8035 (or 8031 counting only the distinct ones).

The product of its digits is 2822400, while the sum is 48.

The square root of 2255774664 is about 47494.9961995998. The cubic root of 2255774664 is about 1311.4907691246.

The spelling of 2255774664 in words is "two billion, two hundred fifty-five million, seven hundred seventy-four thousand, six hundred sixty-four".