2235106120 has 96 divisors (see below), whose sum is σ = 5474891520. Its totient is φ = 820834560.

The previous prime is 2235106117. The next prime is 2235106129. The reversal of 2235106120 is 216015322.

It is a super-2 number, since 2×2235106120² = 9991398735322908800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2235106091 and 2235106100.

It is not an unprimeable number, because it can be changed into a prime (2235106129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1425577 + ... + 1427143.

It is an arithmetic number, because the mean of its divisors is an integer number (57030120).

Almost surely, 2^2235106120 is an apocalyptic number.

2235106120 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 2235106120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2737445760).

2235106120 is an abundant number, since it is smaller than the sum of its proper divisors (3239785400).

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

2235106120 is a wasteful number, since it uses less digits than its factorization.

2235106120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1815 (or 1798 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 2235106120 is about 47276.9089514109. The cubic root of 2235106120 is about 1307.4729598947.

The spelling of 2235106120 in words is "two billion, two hundred thirty-five million, one hundred six thousand, one hundred twenty".