2042002020 has 96 divisors (see below), whose sum is σ = 5842876032. Its totient is φ = 532666368.

The previous prime is 2042002009. The next prime is 2042002043. The reversal of 2042002020 is 202002402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2042001987 and 2042002005.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1376199 + ... + 1377681.

It is an arithmetic number, because the mean of its divisors is an integer number (60863292).

Almost surely, 2^2042002020 is an apocalyptic number.

2042002020 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 2042002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2921438016).

2042002020 is an abundant number, since it is smaller than the sum of its proper divisors (3800874012).

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

2042002020 is a wasteful number, since it uses less digits than its factorization.

2042002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1981 (or 1979 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 2042002020 is about 45188.5164615967. The cubic root of 2042002020 is about 1268.6798897737.

Adding to 2042002020 its reverse (202002402), we get a palindrome (2244004422).

The spelling of 2042002020 in words is "two billion, forty-two million, two thousand, twenty".