2968612416 has 672 divisors, whose sum is σ = 11467502592. Its totient is φ = 739031040.

The previous prime is 2968612411. The next prime is 2968612429. The reversal of 2968612416 is 6142168692.

2968612416 is a `hidden beast` number, since 29 + 6 + 8 + 612 + 4 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2968612411) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44307615 + ... + 44307681.

It is an arithmetic number, because the mean of its divisors is an integer number (17064736).

Almost surely, 2^2968612416 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 2968612416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5733751296).

2968612416 is an abundant number, since it is smaller than the sum of its proper divisors (8498890176).

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

2968612416 is a wasteful number, since it uses less digits than its factorization.

2968612416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 127 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 2968612416 is about 54484.9742222569. The cubic root of 2968612416 is about 1437.2020671124.

The spelling of 2968612416 in words is "two billion, nine hundred sixty-eight million, six hundred twelve thousand, four hundred sixteen".