2042200400 has 60 divisors (see below), whose sum is σ = 4917429312. Its totient is φ = 815041920.

The previous prime is 2042200393. The next prime is 2042200409. The reversal of 2042200400 is 40022402.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042200409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 179687 + ... + 190713.

Almost surely, 2^2042200400 is an apocalyptic number.

2042200400 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 2042200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2458714656).

2042200400 is an abundant number, since it is smaller than the sum of its proper divisors (2875228912).

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

2042200400 is a wasteful number, since it uses less digits than its factorization.

2042200400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11508 (or 11497 counting only the distinct ones).

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

The square root of 2042200400 is about 45190.7114349841. The cubic root of 2042200400 is about 1268.7209724243.

Adding to 2042200400 its reverse (40022402), we get a palindrome (2082222802).

The spelling of 2042200400 in words is "two billion, forty-two million, two hundred thousand, four hundred".