2982341376 has 288 divisors, whose sum is σ = 10278213120. Its totient is φ = 835301376.

The previous prime is 2982341371. The next prime is 2982341407. The reversal of 2982341376 is 6731432892.

It is a tau number, because it is divible by the number of its divisors (288).

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 (2982341371) 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 31 ways as a sum of consecutive naturals, for example, 2563771 + ... + 2564933.

It is an arithmetic number, because the mean of its divisors is an integer number (35688240).

Almost surely, 2^2982341376 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 2982341376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5139106560).

2982341376 is an abundant number, since it is smaller than the sum of its proper divisors (7295871744).

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

2982341376 is a wasteful number, since it uses less digits than its factorization.

2982341376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248 (or 1228 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 2982341376 is about 54610.8173899641. The cubic root of 2982341376 is about 1439.4142061751.

The spelling of 2982341376 in words is "two billion, nine hundred eighty-two million, three hundred forty-one thousand, three hundred seventy-six".