2984640336 has 120 divisors (see below), whose sum is σ = 8498950824. Its totient is φ = 977633280.

The previous prime is 2984640319. The next prime is 2984640341. The reversal of 2984640336 is 6330464892.

It can be written as a sum of positive squares in 4 ways, for example, as 19184400 + 2965455936 = 4380^2 + 54456^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2984640291 and 2984640300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2192296 + ... + 2193656.

Almost surely, 2^2984640336 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 2984640336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4249475412).

2984640336 is an abundant number, since it is smaller than the sum of its proper divisors (5514310488).

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

2984640336 is a wasteful number, since it uses less digits than its factorization.

2984640336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1629 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The square root of 2984640336 is about 54631.8619122578. The cubic root of 2984640336 is about 1439.7839722229.

The spelling of 2984640336 in words is "two billion, nine hundred eighty-four million, six hundred forty thousand, three hundred thirty-six".