2257090560 has 288 divisors, whose sum is σ = 8240778000. Its totient is φ = 569769984.

The previous prime is 2257090543. The next prime is 2257090567. The reversal of 2257090560 is 650907522.

2257090560 is a `hidden beast` number, since 2 + 2 + 5 + 7 + 0 + 90 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2257090560² = 10188915592082227200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2257090567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1750396 + ... + 1751684.

Almost surely, 2^2257090560 is an apocalyptic number.

2257090560 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 2257090560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4120389000).

2257090560 is an abundant number, since it is smaller than the sum of its proper divisors (5983687440).

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

2257090560 is a wasteful number, since it uses less digits than its factorization.

2257090560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 2257090560 is about 47508.8471760787. The cubic root of 2257090560 is about 1311.7457369659.

The spelling of 2257090560 in words is "two billion, two hundred fifty-seven million, ninety thousand, five hundred sixty".