2261683806144 has 112 divisors (see below), whose sum is σ = 7136244653568. Its totient is φ = 618099913728.

The previous prime is 2261683806119. The next prime is 2261683806163. The reversal of 2261683806144 is 4416083861622.

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36551707 + ... + 36613530.

Almost surely, 2^{2261683806144} is an apocalyptic number.

2261683806144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2261683806144 is an abundant number, since it is smaller than the sum of its proper divisors (4874560847424).

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

2261683806144 is a wasteful number, since it uses less digits than its factorization.

2261683806144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73165282 (or 73165272 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 51.

The spelling of 2261683806144 in words is "two trillion, two hundred sixty-one billion, six hundred eighty-three million, eight hundred six thousand, one hundred forty-four".