2968684992 has 840 divisors, whose sum is σ = 11772351360. Its totient is φ = 731566080.

The previous prime is 2968684981. The next prime is 2968684997. The reversal of 2968684992 is 2994868692.

2968684992 is a `hidden beast` number, since 29 + 68 + 68 + 499 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2968684997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 95764017 + ... + 95764047.

It is an arithmetic number, because the mean of its divisors is an integer number (14014704).

Almost surely, 2^2968684992 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 2968684992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5886175680).

2968684992 is an abundant number, since it is smaller than the sum of its proper divisors (8803666368).

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

2968684992 is a wasteful number, since it uses less digits than its factorization.

2968684992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 85 counting only the distinct ones).

The product of its digits is 26873856, while the sum is 63.

The square root of 2968684992 is about 54485.6402366715. The cubic root of 2968684992 is about 1437.2137791529.

The spelling of 2968684992 in words is "two billion, nine hundred sixty-eight million, six hundred eighty-four thousand, nine hundred ninety-two".