2042316864 has 189 divisors, whose sum is σ = 6835085517. Its totient is φ = 581349888.

The previous prime is 2042316823. The next prime is 2042316869. The reversal of 2042316864 is 4686132402.

The square root of 2042316864 is 45192.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 134374464 + 1907942400 = 11592^2 + 43680^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2042316869) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7592122 + ... + 7592390.

Almost surely, 2^2042316864 is an apocalyptic number.

2042316864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2042316864 is the 45192-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2042316864

2042316864 is an abundant number, since it is smaller than the sum of its proper divisors (4792768653).

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

2042316864 is an equidigital number, since it uses as much as digits as its factorization.

2042316864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The cubic root of 2042316864 is about 1268.7450897947.

Multiplying 2042316864 by its sum of digits (36), we get a square (73523407104 = 271152²).

2042316864 divided by its sum of digits (36) gives a square (56731024 = 7532²).

The spelling of 2042316864 in words is "two billion, forty-two million, three hundred sixteen thousand, eight hundred sixty-four".