2414112768 has 208 divisors, whose sum is σ = 7265744640. Its totient is φ = 791986176.

The previous prime is 2414112749. The next prime is 2414112839. The reversal of 2414112768 is 8672114142.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9179005 + ... + 9179267.

Almost surely, 2^2414112768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2414112768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3632872320).

2414112768 is an abundant number, since it is smaller than the sum of its proper divisors (4851631872).

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

2414112768 is an equidigital number, since it uses as much as digits as its factorization.

2414112768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 351 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 2414112768 is about 49133.6215640573. The cubic root of 2414112768 is about 1341.4850929328.

The spelling of 2414112768 in words is "two billion, four hundred fourteen million, one hundred twelve thousand, seven hundred sixty-eight".