2263761128627 has 16 divisors (see below), whose sum is σ = 2404795392000. Its totient is φ = 2123608996992.

The previous prime is 2263761128599. The next prime is 2263761128737. The reversal of 2263761128627 is 7268211673622.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2263761128627 is a prime.

It is a super-2 number, since 2×2263761128627² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2263761128227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9644018 + ... + 9875960.

It is an arithmetic number, because the mean of its divisors is an integer number (150299712000).

Almost surely, 2^{2263761128627} is an apocalyptic number.

2263761128627 is a deficient number, since it is larger than the sum of its proper divisors (141034263373).

2263761128627 is a wasteful number, since it uses less digits than its factorization.

2263761128627 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233842.

The product of its digits is 4064256, while the sum is 53.

The spelling of 2263761128627 in words is "two trillion, two hundred sixty-three billion, seven hundred sixty-one million, one hundred twenty-eight thousand, six hundred twenty-seven".