2440333242100 has 144 divisors (see below), whose sum is σ = 5755234082416. Its totient is φ = 892809216000.

The previous prime is 2440333242073. The next prime is 2440333242157. The reversal of 2440333242100 is 12423330442.

2440333242100 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 24 ways, for example, as 2433337927056 + 6995315044 = 1559916^2 + 83638^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65159380 + ... + 65196820.

Almost surely, 2^{2440333242100} is an apocalyptic number.

2440333242100 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 2440333242100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2877617041208).

2440333242100 is an abundant number, since it is smaller than the sum of its proper divisors (3314900840316).

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

2440333242100 is a wasteful number, since it uses less digits than its factorization.

2440333242100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37926 (or 37919 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 2440333242100 its reverse (12423330442), we get a palindrome (2452756572542).

The spelling of 2440333242100 in words is "two trillion, four hundred forty billion, three hundred thirty-three million, two hundred forty-two thousand, one hundred".