2440232100 has 108 divisors (see below), whose sum is σ = 7676787300. Its totient is φ = 648345600.

The previous prime is 2440232089. The next prime is 2440232131. The reversal of 2440232100 is 12320442.

2440232100 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 184362084 + 2255870016 = 13578^2 + 47496^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 248076 + ... + 257724.

Almost surely, 2^2440232100 is an apocalyptic number.

2440232100 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 2440232100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3838393650).

2440232100 is an abundant number, since it is smaller than the sum of its proper divisors (5236555200).

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

2440232100 is a wasteful number, since it uses less digits than its factorization.

2440232100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9950 (or 9940 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2440232100 is about 49398.7054486249. The cubic root of 2440232100 is about 1346.3057849392.

Adding to 2440232100 its reverse (12320442), we get a palindrome (2452552542).

The spelling of 2440232100 in words is "two billion, four hundred forty million, two hundred thirty-two thousand, one hundred".