2042411200 has 84 divisors (see below), whose sum is σ = 5038572600. Its totient is φ = 814858240.

The previous prime is 2042411191. The next prime is 2042411219. The reversal of 2042411200 is 21142402.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 716979 + ... + 719821.

Almost surely, 2^2042411200 is an apocalyptic number.

2042411200 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 2042411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2519286300).

2042411200 is an abundant number, since it is smaller than the sum of its proper divisors (2996161400).

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

2042411200 is a wasteful number, since it uses less digits than its factorization.

2042411200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3314 (or 3299 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2042411200 is about 45193.0437125007. The cubic root of 2042411200 is about 1268.7646242258.

Adding to 2042411200 its reverse (21142402), we get a palindrome (2063553602).

The spelling of 2042411200 in words is "two billion, forty-two million, four hundred eleven thousand, two hundred".