2404240400 has 120 divisors (see below), whose sum is σ = 5907866664. Its totient is φ = 940032000.

The previous prime is 2404240379. The next prime is 2404240441. The reversal of 2404240400 is 40424042.

It can be written as a sum of positive squares in 12 ways, for example, as 170354704 + 2233885696 = 13052^2 + 47264^2 .

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 23 ways as a sum of consecutive naturals, for example, 4000100 + ... + 4000700.

Almost surely, 2^2404240400 is an apocalyptic number.

2404240400 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 2404240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2953933332).

2404240400 is an abundant number, since it is smaller than the sum of its proper divisors (3503626264).

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

2404240400 is a wasteful number, since it uses less digits than its factorization.

2404240400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 818 counting only the distinct ones).

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

The square root of 2404240400 is about 49033.0541573743. The cubic root of 2404240400 is about 1339.6539538603.

Adding to 2404240400 its reverse (40424042), we get a palindrome (2444664442).

It can be divided in two parts, 2404 and 240400, that multiplied together give a square (577921600 = 24040²).

The spelling of 2404240400 in words is "two billion, four hundred four million, two hundred forty thousand, four hundred".