2040044400 has 240 divisors, whose sum is σ = 7417382400. Its totient is φ = 532304640.

The previous prime is 2040044371. The next prime is 2040044407. The reversal of 2040044400 is 44400402.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2040044407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 505591 + ... + 509609.

It is an arithmetic number, because the mean of its divisors is an integer number (30905760).

Almost surely, 2^2040044400 is an apocalyptic number.

2040044400 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 2040044400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3708691200).

2040044400 is an abundant number, since it is smaller than the sum of its proper divisors (5377338000).

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

2040044400 is a wasteful number, since it uses less digits than its factorization.

2040044400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4093 (or 4076 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 2040044400 is about 45166.8506761319. The cubic root of 2040044400 is about 1268.2743421495.

Adding to 2040044400 its reverse (44400402), we get a palindrome (2084444802).

The spelling of 2040044400 in words is "two billion, forty million, forty-four thousand, four hundred".