2261966908641 has 64 divisors (see below), whose sum is σ = 3447765651456. Its totient is φ = 1306838361600.

The previous prime is 2261966908633. The next prime is 2261966908703. The reversal of 2261966908641 is 1468096691622.

It is not a de Polignac number, because 2261966908641 - 2³ = 2261966908633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2261966904641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38952270 + ... + 39010296.

It is an arithmetic number, because the mean of its divisors is an integer number (53871338304).

Almost surely, 2^{2261966908641} is an apocalyptic number.

It is an amenable number.

2261966908641 is a deficient number, since it is larger than the sum of its proper divisors (1185798742815).

2261966908641 is a wasteful number, since it uses less digits than its factorization.

2261966908641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58742.

The product of its (nonzero) digits is 13436928, while the sum is 60.

The spelling of 2261966908641 in words is "two trillion, two hundred sixty-one billion, nine hundred sixty-six million, nine hundred eight thousand, six hundred forty-one".