2257275280 has 80 divisors (see below), whose sum is σ = 5804722224. Its totient is φ = 810915840.

The previous prime is 2257275271. The next prime is 2257275299. The reversal of 2257275280 is 825727522.

It can be written as a sum of positive squares in 8 ways, for example, as 181926144 + 2075349136 = 13488^2 + 45556^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×2257275280³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9150 + ... + 67810.

Almost surely, 2^2257275280 is an apocalyptic number.

2257275280 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 2257275280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2902361112).

2257275280 is an abundant number, since it is smaller than the sum of its proper divisors (3547446944).

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

2257275280 is a wasteful number, since it uses less digits than its factorization.

2257275280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58724 (or 58718 counting only the distinct ones).

The product of its (nonzero) digits is 156800, while the sum is 40.

The square root of 2257275280 is about 47510.7911952643. The cubic root of 2257275280 is about 1311.7815203570.

The spelling of 2257275280 in words is "two billion, two hundred fifty-seven million, two hundred seventy-five thousand, two hundred eighty".