2971968384 has 384 divisors, whose sum is σ = 10197290880. Its totient is φ = 758231040.

The previous prime is 2971968359. The next prime is 2971968409. The reversal of 2971968384 is 4838691792.

It is an interprime number because it is at equal distance from previous prime (2971968359) and next prime (2971968409).

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17178922 + ... + 17179094.

It is an arithmetic number, because the mean of its divisors is an integer number (26555445).

Almost surely, 2^2971968384 is an apocalyptic number.

2971968384 is a gapful number since it is divisible by the number (24) 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 2971968384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5098645440).

2971968384 is an abundant number, since it is smaller than the sum of its proper divisors (7225322496).

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

2971968384 is a wasteful number, since it uses less digits than its factorization.

2971968384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 279 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 57.

The square root of 2971968384 is about 54515.7627113480. The cubic root of 2971968384 is about 1437.7434410040.

The spelling of 2971968384 in words is "two billion, nine hundred seventy-one million, nine hundred sixty-eight thousand, three hundred eighty-four".