2255890560 has 256 divisors, whose sum is σ = 8965555200. Its totient is φ = 468725760.

The previous prime is 2255890519. The next prime is 2255890579. The reversal of 2255890560 is 650985522.

It is a super-2 number, since 2×2255890560² = 10178084437394227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140211 + ... + 155469.

It is an arithmetic number, because the mean of its divisors is an integer number (35021700).

Almost surely, 2^2255890560 is an apocalyptic number.

2255890560 is a gapful number since it is divisible by the number (20) 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 2255890560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4482777600).

2255890560 is an abundant number, since it is smaller than the sum of its proper divisors (6709664640).

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

2255890560 is a wasteful number, since it uses less digits than its factorization.

2255890560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15299 (or 15287 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 42.

The square root of 2255890560 is about 47496.2162703515. The cubic root of 2255890560 is about 1311.5132291001.

The spelling of 2255890560 in words is "two billion, two hundred fifty-five million, eight hundred ninety thousand, five hundred sixty".