2119813696 has 336 divisors, whose sum is σ = 5983467840. Its totient is φ = 731566080.

The previous prime is 2119813681. The next prime is 2119813711. The reversal of 2119813696 is 6963189112.

It is an interprime number because it is at equal distance from previous prime (2119813681) and next prime (2119813711).

It is a super-2 number, since 2×2119813696² = 8987220211498360832, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13004911 + ... + 13005073.

It is an arithmetic number, because the mean of its divisors is an integer number (17807940).

Almost surely, 2^2119813696 is an apocalyptic number.

2119813696 is a gapful number since it is divisible by the number (26) 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 2119813696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2991733920).

2119813696 is an abundant number, since it is smaller than the sum of its proper divisors (3863654144).

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

2119813696 is a wasteful number, since it uses less digits than its factorization.

2119813696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 225 counting only the distinct ones).

The product of its digits is 139968, while the sum is 46.

The square root of 2119813696 is about 46041.4345562777. The cubic root of 2119813696 is about 1284.5940257899.

The spelling of 2119813696 in words is "two billion, one hundred nineteen million, eight hundred thirteen thousand, six hundred ninety-six".