2140442400 has 72 divisors (see below), whose sum is σ = 6967147824. Its totient is φ = 570784000.

The previous prime is 2140442393. The next prime is 2140442401. The reversal of 2140442400 is 42440412.

It is not an unprimeable number, because it can be changed into a prime (2140442401) 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, 443526 + ... + 448325.

It is an arithmetic number, because the mean of its divisors is an integer number (96765942).

Almost surely, 2^2140442400 is an apocalyptic number.

2140442400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2140442400 is an abundant number, since it is smaller than the sum of its proper divisors (4826705424).

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

2140442400 is a wasteful number, since it uses less digits than its factorization.

2140442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891874 (or 891861 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 2140442400 is about 46264.9154327553. The cubic root of 2140442400 is about 1288.7475374559.

Adding to 2140442400 its reverse (42440412), we get a palindrome (2182882812).

The spelling of 2140442400 in words is "two billion, one hundred forty million, four hundred forty-two thousand, four hundred".