2240040100000 has 144 divisors (see below), whose sum is σ = 5519258854200. Its totient is φ = 894876160000.

The previous prime is 2240040099989. The next prime is 2240040100009. The reversal of 2240040100000 is 10400422.

It can be written as a sum of positive squares in 12 ways, for example, as 1115668287504 + 1124371812496 = 1056252^2 + 1060364^2 .

It is not an unprimeable number, because it can be changed into a prime (2240040100009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80886156 + ... + 80913844.

Almost surely, 2^{2240040100000} is an apocalyptic number.

2240040100000 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 2240040100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2759629427100).

2240040100000 is an abundant number, since it is smaller than the sum of its proper divisors (3279218754200).

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

2240040100000 is an frugal number, since it uses more digits than its factorization.

2240040100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28533 (or 28505 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 2240040100000 its reverse (10400422), we get a palindrome (2240050500422).

The spelling of 2240040100000 in words is "two trillion, two hundred forty billion, forty million, one hundred thousand".