2042842464 has 192 divisors, whose sum is σ = 6624737280. Its totient is φ = 608186880.

The previous prime is 2042842453. The next prime is 2042842469. The reversal of 2042842464 is 4642482402.

It is a happy number.

2042842464 is a `hidden beast` number, since 204 + 28 + 424 + 6 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042842469) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 345259 + ... + 351125.

It is an arithmetic number, because the mean of its divisors is an integer number (34503840).

Almost surely, 2^2042842464 is an apocalyptic number.

2042842464 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 2042842464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3312368640).

2042842464 is an abundant number, since it is smaller than the sum of its proper divisors (4581894816).

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

2042842464 is a wasteful number, since it uses less digits than its factorization.

2042842464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5930 (or 5916 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The square root of 2042842464 is about 45197.8148144354. The cubic root of 2042842464 is about 1268.8539196623.

The spelling of 2042842464 in words is "two billion, forty-two million, eight hundred forty-two thousand, four hundred sixty-four".