2400040400 has 30 divisors (see below), whose sum is σ = 5766098022. Its totient is φ = 960016000.

The previous prime is 2400040397. The next prime is 2400040451. The reversal of 2400040400 is 40400042.

2400040400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 817273744 + 1582766656 = 28588^2 + 39784^2 .

It is a zygodrome in base 7.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2999651 + ... + 3000450.

Almost surely, 2^2400040400 is an apocalyptic number.

2400040400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2400040400 is an abundant number, since it is smaller than the sum of its proper divisors (3366057622).

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

2400040400 is a wasteful number, since it uses less digits than its factorization.

2400040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6000119 (or 6000108 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 2400040400 is about 48990.2071847017. The cubic root of 2400040400 is about 1338.8734126475.

Adding to 2400040400 its reverse (40400042), we get a palindrome (2440440442).

The spelling of 2400040400 in words is "two billion, four hundred million, forty thousand, four hundred".