2040442400 has 72 divisors (see below), whose sum is σ = 5030748324. Its totient is φ = 808064000.

The previous prime is 2040442381. The next prime is 2040442421. The reversal of 2040442400 is 42440402.

It can be written as a sum of positive squares in 6 ways, for example, as 1802172304 + 238270096 = 42452^2 + 15436^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 68174 + ... + 93426.

Almost surely, 2^2040442400 is an apocalyptic number.

2040442400 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 2040442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2515374162).

2040442400 is an abundant number, since it is smaller than the sum of its proper divisors (2990305924).

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

2040442400 is a wasteful number, since it uses less digits than its factorization.

2040442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25374 (or 25361 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 2040442400 is about 45171.2563473721. The cubic root of 2040442400 is about 1268.3568142705.

Adding to 2040442400 its reverse (42440402), we get a palindrome (2082882802).

The spelling of 2040442400 in words is "two billion, forty million, four hundred forty-two thousand, four hundred".