2042306784 has 240 divisors, whose sum is σ = 7087804416. Its totient is φ = 564537600.

The previous prime is 2042306671. The next prime is 2042306807. The reversal of 2042306784 is 4876032402.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 560649 + ... + 564279.

Almost surely, 2^2042306784 is an apocalyptic number.

2042306784 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2042306784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3543902208).

2042306784 is an abundant number, since it is smaller than the sum of its proper divisors (5045497632).

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

2042306784 is a wasteful number, since it uses less digits than its factorization.

2042306784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3691 (or 3674 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2042306784 is about 45191.8884756988. Note that the first 3 decimals coincide. The cubic root of 2042306784 is about 1268.7430024641.

The spelling of 2042306784 in words is "two billion, forty-two million, three hundred six thousand, seven hundred eighty-four".