2261925291627 has 32 divisors (see below), whose sum is σ = 3381184915200. Its totient is φ = 1494371362176.

The previous prime is 2261925291607. The next prime is 2261925291713. The reversal of 2261925291627 is 7261925291622.

2261925291627 is a `hidden beast` number, since 2 + 2 + 6 + 1 + 9 + 2 + 5 + 2 + 9 + 1 + 627 = 666.

It is not a de Polignac number, because 2261925291627 - 2³⁵ = 2227565553259 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2261925291607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20628048 + ... + 20737410.

It is an arithmetic number, because the mean of its divisors is an integer number (105662028600).

Almost surely, 2^{2261925291627} is an apocalyptic number.

2261925291627 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

2261925291627 is a deficient number, since it is larger than the sum of its proper divisors (1119259623573).

2261925291627 is a wasteful number, since it uses less digits than its factorization.

2261925291627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116264 (or 116258 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

It can be divided in two parts, 2261925 and 291627, that added together give a palindrome (2553552).

The spelling of 2261925291627 in words is "two trillion, two hundred sixty-one billion, nine hundred twenty-five million, two hundred ninety-one thousand, six hundred twenty-seven".