2114880768 has 648 divisors, whose sum is σ = 8396964576. Its totient is φ = 503193600.

The previous prime is 2114880749. The next prime is 2114880773. The reversal of 2114880768 is 8670884112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16144063 + ... + 16144193.

Almost surely, 2^2114880768 is an apocalyptic number.

2114880768 is a gapful number since it is divisible by the number (28) 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 2114880768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4198482288).

2114880768 is an abundant number, since it is smaller than the sum of its proper divisors (6282083808).

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

2114880768 is a wasteful number, since it uses less digits than its factorization.

2114880768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The square root of 2114880768 is about 45987.8328256507. The cubic root of 2114880768 is about 1283.5968105491.

The spelling of 2114880768 in words is "two billion, one hundred fourteen million, eight hundred eighty thousand, seven hundred sixty-eight".