2142405200 has 60 divisors (see below), whose sum is σ = 5543074908. Its totient is φ = 791040000.

The previous prime is 2142405179. The next prime is 2142405203. The reversal of 2142405200 is 25042412.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 937024 + 2141468176 = 968^2 + 46276^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142405203) 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, 200801 + ... + 211200.

Almost surely, 2^2142405200 is an apocalyptic number.

2142405200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2142405200 is an abundant number, since it is smaller than the sum of its proper divisors (3400669708).

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

2142405200 is a wasteful number, since it uses less digits than its factorization.

2142405200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412032 (or 412021 counting only the distinct ones).

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

The square root of 2142405200 is about 46286.1231904337. The cubic root of 2142405200 is about 1289.1413471428.

Adding to 2142405200 its reverse (25042412), we get a palindrome (2167447612).

The spelling of 2142405200 in words is "two billion, one hundred forty-two million, four hundred five thousand, two hundred".