2042415200 has 72 divisors (see below), whose sum is σ = 5698354032. Its totient is φ = 700254720.

The previous prime is 2042415187. The next prime is 2042415211. The reversal of 2042415200 is 25142402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 176759 + ... + 187958.

It is an arithmetic number, because the mean of its divisors is an integer number (79143806).

Almost surely, 2^2042415200 is an apocalyptic number.

2042415200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2042415200 is an abundant number, since it is smaller than the sum of its proper divisors (3655938832).

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

2042415200 is a wasteful number, since it uses less digits than its factorization.

2042415200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364744 (or 364731 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 2042415200 is about 45193.0879670774. The cubic root of 2042415200 is about 1268.7654525042.

Adding to 2042415200 its reverse (25142402), we get a palindrome (2067557602).

The spelling of 2042415200 in words is "two billion, forty-two million, four hundred fifteen thousand, two hundred".