2260957440 has 432 divisors, whose sum is σ = 8747077248. Its totient is φ = 487489536.

The previous prime is 2260957393. The next prime is 2260957481. The reversal of 2260957440 is 447590622.

It is a super-2 number, since 2×2260957440² = 10223857090982707200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9703564 + ... + 9703796.

It is an arithmetic number, because the mean of its divisors is an integer number (20247864).

Almost surely, 2^2260957440 is an apocalyptic number.

2260957440 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 2260957440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4373538624).

2260957440 is an abundant number, since it is smaller than the sum of its proper divisors (6486119808).

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

2260957440 is a wasteful number, since it uses less digits than its factorization.

2260957440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 2260957440 is about 47549.5261806046. The cubic root of 2260957440 is about 1312.4944101349.

The spelling of 2260957440 in words is "two billion, two hundred sixty million, nine hundred fifty-seven thousand, four hundred forty".