2946633984 has 144 divisors (see below), whose sum is σ = 9958695040. Its totient is φ = 841881600.

The previous prime is 2946633931. The next prime is 2946633997. The reversal of 2946633984 is 4893366492.

It is a tau number, because it is divible by the number of its divisors (144).

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 2946633984.

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 15 ways as a sum of consecutive naturals, for example, 17934 + ... + 78834.

Almost surely, 2^2946633984 is an apocalyptic number.

2946633984 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 2946633984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4979347520).

2946633984 is an abundant number, since it is smaller than the sum of its proper divisors (7012061056).

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

2946633984 is an equidigital number, since it uses as much as digits as its factorization.

2946633984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60933 (or 60913 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 54.

The square root of 2946633984 is about 54282.9069228979. The cubic root of 2946633984 is about 1433.6464526429.

The spelling of 2946633984 in words is "two billion, nine hundred forty-six million, six hundred thirty-three thousand, nine hundred eighty-four".