2257361760 has 96 divisors (see below), whose sum is σ = 7117256160. Its totient is φ = 601407488.

The previous prime is 2257361759. The next prime is 2257361761. The reversal of 2257361760 is 671637522.

It is an interprime number because it is at equal distance from previous prime (2257361759) and next prime (2257361761).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2257361761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 991984 + ... + 994256.

It is an arithmetic number, because the mean of its divisors is an integer number (74138085).

Almost surely, 2^2257361760 is an apocalyptic number.

2257361760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2257361760 is an abundant number, since it is smaller than the sum of its proper divisors (4859894400).

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

2257361760 is a wasteful number, since it uses less digits than its factorization.

2257361760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4360 (or 4352 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 39.

The square root of 2257361760 is about 47511.7012955756. The cubic root of 2257361760 is about 1311.7982723260.

The spelling of 2257361760 in words is "two billion, two hundred fifty-seven million, three hundred sixty-one thousand, seven hundred sixty".