2261517246675 has 48 divisors (see below), whose sum is σ = 4398872784480. Its totient is φ = 1135192965120.

The previous prime is 2261517246649. The next prime is 2261517246683. The reversal of 2261517246675 is 5766427151622.

2261517246675 is a `hidden beast` number, since 2 + 2 + 6 + 1 + 5 + 172 + 466 + 7 + 5 = 666.

It is not a de Polignac number, because 2261517246675 - 2²³ = 2261508858067 is a prime.

It is a super-2 number, since 2×2261517246675² (a number of 26 digits) contains 22 as substring.

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, 98529582 + ... + 98552531.

It is an arithmetic number, because the mean of its divisors is an integer number (91643183010).

Almost surely, 2^{2261517246675} is an apocalyptic number.

2261517246675 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2261517246675 is a deficient number, since it is larger than the sum of its proper divisors (2137355537805).

2261517246675 is a wasteful number, since it uses less digits than its factorization.

2261517246675 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197082149 (or 197082138 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 54.

The spelling of 2261517246675 in words is "two trillion, two hundred sixty-one billion, five hundred seventeen million, two hundred forty-six thousand, six hundred seventy-five".