2140220400 has 60 divisors (see below), whose sum is σ = 6855843192. Its totient is φ = 570725120.

The previous prime is 2140220399. The next prime is 2140220413. The reversal of 2140220400 is 40220412.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2140220400.

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, 890559 + ... + 892958.

Almost surely, 2^2140220400 is an apocalyptic number.

2140220400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2140220400 is an abundant number, since it is smaller than the sum of its proper divisors (4715622792).

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

2140220400 is a wasteful number, since it uses less digits than its factorization.

2140220400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1783538 (or 1783527 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 2140220400 is about 46262.5161442825. The cubic root of 2140220400 is about 1288.7029809591.

Adding to 2140220400 its reverse (40220412), we get a palindrome (2180440812).

The spelling of 2140220400 in words is "two billion, one hundred forty million, two hundred twenty thousand, four hundred".