2042042000 has 80 divisors (see below), whose sum is σ = 4965817584. Its totient is φ = 812160000.

The previous prime is 2042041993. The next prime is 2042042021. The reversal of 2042042000 is 2402402.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 662959504 + 1379082496 = 25748^2 + 37136^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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, 359180 + ... + 364820.

Almost surely, 2^2042042000 is an apocalyptic number.

2042042000 is a gapful number since it is divisible by the number (20) 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 2042042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2482908792).

2042042000 is an abundant number, since it is smaller than the sum of its proper divisors (2923775584).

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

2042042000 is a wasteful number, since it uses less digits than its factorization.

2042042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5845 (or 5829 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 2042042000 is about 45188.9588284572. The cubic root of 2042042000 is about 1268.6881694734.

Adding to 2042042000 its reverse (2402402), we get a palindrome (2044444402).

The spelling of 2042042000 in words is "two billion, forty-two million, forty-two thousand", and thus it is an eban number.