2140440400 has 120 divisors (see below), whose sum is σ = 5895465920. Its totient is φ = 731566080.

The previous prime is 2140440391. The next prime is 2140440433. The reversal of 2140440400 is 40440412.

It is a congruent 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, 1060192 + ... + 1062208.

Almost surely, 2^2140440400 is an apocalyptic number.

2140440400 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 2140440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2947732960).

2140440400 is an abundant number, since it is smaller than the sum of its proper divisors (3755025520).

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

2140440400 is a wasteful number, since it uses less digits than its factorization.

2140440400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2421 (or 2410 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 2140440400 is about 46264.8938180993. The cubic root of 2140440400 is about 1288.7471360598.

Adding to 2140440400 its reverse (40440412), we get a palindrome (2180880812).

The spelling of 2140440400 in words is "two billion, one hundred forty million, four hundred forty thousand, four hundred".