2942481984 has 336 divisors, whose sum is σ = 9036100800. Its totient is φ = 843128832.

The previous prime is 2942481961. The next prime is 2942481989. The reversal of 2942481984 is 4891842492.

It is not an unprimeable number, because it can be changed into a prime (2942481989) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49872547 + ... + 49872605.

Almost surely, 2^2942481984 is an apocalyptic number.

2942481984 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 2942481984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4518050400).

2942481984 is an abundant number, since it is smaller than the sum of its proper divisors (6093618816).

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

2942481984 is a wasteful number, since it uses less digits than its factorization.

2942481984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 159 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 51.

The square root of 2942481984 is about 54244.6493582547. The cubic root of 2942481984 is about 1432.9727689171.

The spelling of 2942481984 in words is "two billion, nine hundred forty-two million, four hundred eighty-one thousand, nine hundred eighty-four".