2040422400 has 504 divisors, whose sum is σ = 7764362424. Its totient is φ = 530841600.

The previous prime is 2040422383. The next prime is 2040422401. The reversal of 2040422400 is 42240402.

2040422400 is a `hidden beast` number, since 20 + 404 + 2 + 240 + 0 = 666.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2040422401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 49766380 + ... + 49766420.

It is an arithmetic number, because the mean of its divisors is an integer number (15405481).

Almost surely, 2^2040422400 is an apocalyptic number.

2040422400 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 2040422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3882181212).

2040422400 is an abundant number, since it is smaller than the sum of its proper divisors (5723940024).

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

2040422400 is an frugal number, since it uses more digits than its factorization.

2040422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 51 counting only the distinct ones).

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

The square root of 2040422400 is about 45171.0349671114. The cubic root of 2040422400 is about 1268.3526701987.

Adding to 2040422400 its reverse (42240402), we get a palindrome (2082662802).

The spelling of 2040422400 in words is "two billion, forty million, four hundred twenty-two thousand, four hundred".