2440100400 has 120 divisors (see below), whose sum is σ = 7910952000. Its totient is φ = 642827520.

The previous prime is 2440100387. The next prime is 2440100431. The reversal of 2440100400 is 40010442.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2440100400.

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, 87351 + ... + 111849.

It is an arithmetic number, because the mean of its divisors is an integer number (65924600).

Almost surely, 2^2440100400 is an apocalyptic number.

2440100400 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 2440100400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3955476000).

2440100400 is an abundant number, since it is smaller than the sum of its proper divisors (5470851600).

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

2440100400 is a wasteful number, since it uses less digits than its factorization.

2440100400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24603 (or 24592 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 2440100400 is about 49397.3723997542. The cubic root of 2440100400 is about 1346.2815643385.

Adding to 2440100400 its reverse (40010442), we get a palindrome (2480110842).

The spelling of 2440100400 in words is "two billion, four hundred forty million, one hundred thousand, four hundred".