2941968384 has 224 divisors, whose sum is σ = 8933322240. Its totient is φ = 956399616.

The previous prime is 2941968347. The next prime is 2941968391. The reversal of 2941968384 is 4838691492.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2941968384.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 10395507 + ... + 10395789.

Almost surely, 2^2941968384 is an apocalyptic number.

2941968384 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 2941968384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4466661120).

2941968384 is an abundant number, since it is smaller than the sum of its proper divisors (5991353856).

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

2941968384 is an equidigital number, since it uses as much as digits as its factorization.

2941968384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 335 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 2941968384 is about 54239.9150441813. The cubic root of 2941968384 is about 1432.8893905942.

The spelling of 2941968384 in words is "two billion, nine hundred forty-one million, nine hundred sixty-eight thousand, three hundred eighty-four".