2110100000240 has 40 divisors (see below), whose sum is σ = 4906920267360. Its totient is φ = 843878663936.

The previous prime is 2110100000209. The next prime is 2110100000251. The reversal of 2110100000240 is 420000010112.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×2110100000240² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2099300 + ... + 2937219.

It is an arithmetic number, because the mean of its divisors is an integer number (122673006684).

Almost surely, 2^{2110100000240} is an apocalyptic number.

2110100000240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2110100000240 is an abundant number, since it is smaller than the sum of its proper divisors (2796820267120).

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

2110100000240 is a wasteful number, since it uses less digits than its factorization.

2110100000240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5041769 (or 5041763 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2110100000240 its reverse (420000010112), we get a palindrome (2530100010352).

The spelling of 2110100000240 in words is "two trillion, one hundred ten billion, one hundred million, two hundred forty", and thus it is an aban number.