2260614011100 has 216 divisors, whose sum is σ = 6995650166400. Its totient is φ = 562553587200.

The previous prime is 2260614011099. The next prime is 2260614011119. The reversal of 2260614011100 is 11104160622.

It is a happy number.

It is a super-2 number, since 2×2260614011100² (a number of 26 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 (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11501451 + ... + 11696349.

Almost surely, 2^{2260614011100} is an apocalyptic number.

2260614011100 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 2260614011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3497825083200).

2260614011100 is an abundant number, since it is smaller than the sum of its proper divisors (4735036155300).

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

2260614011100 is a wasteful number, since it uses less digits than its factorization.

2260614011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195021 (or 194973 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 2260614011100 its reverse (11104160622), we get a palindrome (2271718171722).

The spelling of 2260614011100 in words is "two trillion, two hundred sixty billion, six hundred fourteen million, eleven thousand, one hundred".