2042105664 has 28 divisors (see below), whose sum is σ = 5403071744. Its totient is φ = 680701824.

The previous prime is 2042105651. The next prime is 2042105701. The reversal of 2042105664 is 4665012402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5317792 + ... + 5318175.

It is an arithmetic number, because the mean of its divisors is an integer number (192966848).

Almost surely, 2^2042105664 is an apocalyptic number.

2042105664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2042105664 is an abundant number, since it is smaller than the sum of its proper divisors (3360966080).

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

2042105664 is a wasteful number, since it uses less digits than its factorization.

2042105664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10635982 (or 10635972 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 2042105664 is about 45189.6632428258. The cubic root of 2042105664 is about 1268.7013538128.

The spelling of 2042105664 in words is "two billion, forty-two million, one hundred five thousand, six hundred sixty-four".