2405442100 has 72 divisors (see below), whose sum is σ = 5339892600. Its totient is φ = 940193280.

The previous prime is 2405442077. The next prime is 2405442119. The reversal of 2405442100 is 12445042.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 121749156 + 2283692944 = 11034^2 + 47788^2 .

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, 1552126 + ... + 1553674.

It is an arithmetic number, because the mean of its divisors is an integer number (74165175).

Almost surely, 2^2405442100 is an apocalyptic number.

2405442100 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 2405442100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2669946300).

2405442100 is an abundant number, since it is smaller than the sum of its proper divisors (2934450500).

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

2405442100 is a wasteful number, since it uses less digits than its factorization.

2405442100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1909 (or 1902 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 2405442100 is about 49045.3066052196. The cubic root of 2405442100 is about 1339.8771142972.

Adding to 2405442100 its reverse (12445042), we get a palindrome (2417887142).

The spelling of 2405442100 in words is "two billion, four hundred five million, four hundred forty-two thousand, one hundred".