2257055280 has 200 divisors, whose sum is σ = 7940116800. Its totient is φ = 594127872.

The previous prime is 2257055263. The next prime is 2257055287. The reversal of 2257055280 is 825507522.

2257055280 is a `hidden beast` number, since 2 + 2 + 570 + 5 + 5 + 2 + 80 = 666.

It is a super-3 number, since 3×2257055280³ (a number of 29 digits) contains 333 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 (2257055287) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 509716 + ... + 514124.

It is an arithmetic number, because the mean of its divisors is an integer number (39700584).

Almost surely, 2^2257055280 is an apocalyptic number.

2257055280 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 2257055280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3970058400).

2257055280 is an abundant number, since it is smaller than the sum of its proper divisors (5683061520).

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

2257055280 is a wasteful number, since it uses less digits than its factorization.

2257055280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4513 (or 4498 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 2257055280 is about 47508.4758753635. The cubic root of 2257055280 is about 1311.7389024106.

The spelling of 2257055280 in words is "two billion, two hundred fifty-seven million, fifty-five thousand, two hundred eighty".