2400100400 has 60 divisors (see below), whose sum is σ = 5775410112. Its totient is φ = 958513920.

The previous prime is 2400100399. The next prime is 2400100429. The reversal of 2400100400 is 40010042.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 266369 + ... + 275231.

Almost surely, 2^2400100400 is an apocalyptic number.

2400100400 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 2400100400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2887705056).

2400100400 is an abundant number, since it is smaller than the sum of its proper divisors (3375309712).

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

2400100400 is a wasteful number, since it uses less digits than its factorization.

2400100400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9558 (or 9547 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 2400100400 is about 48990.8195481562. The cubic root of 2400100400 is about 1338.8845696452.

Adding to 2400100400 its reverse (40010042), we get a palindrome (2440110442).

The spelling of 2400100400 in words is "two billion, four hundred million, one hundred thousand, four hundred".