2261272460 has 48 divisors (see below), whose sum is σ = 5104995840. Its totient is φ = 838664640.

The previous prime is 2261272457. The next prime is 2261272483. The reversal of 2261272460 is 642721622.

It is a super-2 number, since 2×2261272460² = 10226706276708903200, which contains 22 as substring.

It is an unprimeable number.

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, 45446 + ... + 81165.

It is an arithmetic number, because the mean of its divisors is an integer number (106354080).

Almost surely, 2^2261272460 is an apocalyptic number.

2261272460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2261272460 is an abundant number, since it is smaller than the sum of its proper divisors (2843723380).

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

2261272460 is a wasteful number, since it uses less digits than its factorization.

2261272460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126686 (or 126684 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 2261272460 is about 47552.8386113805. The cubic root of 2261272460 is about 1312.5553640743. Note that the first 3 decimals are identical.

The spelling of 2261272460 in words is "two billion, two hundred sixty-one million, two hundred seventy-two thousand, four hundred sixty".