2260571040 has 432 divisors, whose sum is σ = 9553759488. Its totient is φ = 476596224.

The previous prime is 2260571021. The next prime is 2260571041. The reversal of 2260571040 is 401750622.

2260571040 is a `hidden beast` number, since 2 + 2 + 605 + 7 + 10 + 40 = 666.

It is a super-2 number, since 2×2260571040² = 10220362853773363200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2260570995 and 2260571013.

It is not an unprimeable number, because it can be changed into a prime (2260571041) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1702857 + ... + 1704183.

It is an arithmetic number, because the mean of its divisors is an integer number (22115184).

Almost surely, 2^2260571040 is an apocalyptic number.

2260571040 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 2260571040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4776879744).

2260571040 is an abundant number, since it is smaller than the sum of its proper divisors (7293188448).

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

2260571040 is a wasteful number, since it uses less digits than its factorization.

2260571040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1381 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 2260571040 is about 47545.4628750210. The cubic root of 2260571040 is about 1312.4196369843.

The spelling of 2260571040 in words is "two billion, two hundred sixty million, five hundred seventy-one thousand, forty".