2257104960 has 672 divisors, whose sum is σ = 9340047360. Its totient is φ = 510935040.

The previous prime is 2257104929. The next prime is 2257104961. The reversal of 2257104960 is 694017522.

2257104960 is a `hidden beast` number, since 22 + 571 + 0 + 4 + 9 + 60 = 666.

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 (2257104961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17772417 + ... + 17772543.

It is an arithmetic number, because the mean of its divisors is an integer number (13898880).

Almost surely, 2^2257104960 is an apocalyptic number.

2257104960 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 2257104960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4670023680).

2257104960 is an abundant number, since it is smaller than the sum of its proper divisors (7082942400).

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

2257104960 is a wasteful number, since it uses less digits than its factorization.

2257104960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 2257104960 is about 47508.9987265571. The cubic root of 2257104960 is about 1311.7485265598.

The spelling of 2257104960 in words is "two billion, two hundred fifty-seven million, one hundred four thousand, nine hundred sixty".