2414767968 has 36 divisors (see below), whose sum is σ = 6866997228. Its totient is φ = 804922560.

The previous prime is 2414767961. The next prime is 2414767981. The reversal of 2414767968 is 8697674142.

2414767968 is a `hidden beast` number, since 2 + 41 + 476 + 79 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×2414767968² = 11662208678557698048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2414767961) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 4192018 + ... + 4192593.

It is an arithmetic number, because the mean of its divisors is an integer number (190749923).

Almost surely, 2^2414767968 is an apocalyptic number.

It is an amenable number.

2414767968 is an abundant number, since it is smaller than the sum of its proper divisors (4452229260).

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

2414767968 is a wasteful number, since it uses less digits than its factorization.

2414767968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8384627 (or 8384616 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 2414767968 is about 49140.2886438409. The cubic root of 2414767968 is about 1341.6064434542.

The spelling of 2414767968 in words is "two billion, four hundred fourteen million, seven hundred sixty-seven thousand, nine hundred sixty-eight".