2142022400 has 216 divisors, whose sum is σ = 6120962400. Its totient is φ = 726958080.

The previous prime is 2142022391. The next prime is 2142022411. The reversal of 2142022400 is 42202412.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6137426 + ... + 6137774.

Almost surely, 2^2142022400 is an apocalyptic number.

2142022400 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 2142022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3060481200).

2142022400 is an abundant number, since it is smaller than the sum of its proper divisors (3978940000).

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

2142022400 is a wasteful number, since it uses less digits than its factorization.

2142022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 2142022400 is about 46281.9878570487. The cubic root of 2142022400 is about 1289.0645623059.

Adding to 2142022400 its reverse (42202412), we get a palindrome (2184224812).

The spelling of 2142022400 in words is "two billion, one hundred forty-two million, twenty-two thousand, four hundred".