2261240211120 has 160 divisors (see below), whose sum is σ = 7647703015680. Its totient is φ = 548136453120.

The previous prime is 2261240211073. The next prime is 2261240211121. The reversal of 2261240211120 is 211120421622.

2261240211120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2261240211120² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2261240211121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45137446 + ... + 45187514.

It is an arithmetic number, because the mean of its divisors is an integer number (47798143848).

Almost surely, 2^{2261240211120} is an apocalyptic number.

2261240211120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2261240211120 is an abundant number, since it is smaller than the sum of its proper divisors (5386462804560).

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

2261240211120 is a wasteful number, since it uses less digits than its factorization.

2261240211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67203 (or 67197 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 2261240211120 its reverse (211120421622), we get a palindrome (2472360632742).

The spelling of 2261240211120 in words is "two trillion, two hundred sixty-one billion, two hundred forty million, two hundred eleven thousand, one hundred twenty".