2040240400 has 120 divisors (see below), whose sum is σ = 5401404288. Its totient is φ = 734400000.

The previous prime is 2040240331. The next prime is 2040240403. The reversal of 2040240400 is 40420402.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (2040240403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 442105 + ... + 446695.

Almost surely, 2^2040240400 is an apocalyptic number.

2040240400 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 2040240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2700702144).

2040240400 is an abundant number, since it is smaller than the sum of its proper divisors (3361163888).

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

2040240400 is a wasteful number, since it uses less digits than its factorization.

2040240400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4721 (or 4710 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 2040240400 is about 45169.0203568773. The cubic root of 2040240400 is about 1268.3149579012.

Adding to 2040240400 its reverse (40420402), we get a palindrome (2080660802).

The spelling of 2040240400 in words is "two billion, forty million, two hundred forty thousand, four hundred".