2944631664 has 240 divisors, whose sum is σ = 9337304160. Its totient is φ = 887777280.

The previous prime is 2944631653. The next prime is 2944631681. The reversal of 2944631664 is 4661364492.

2944631664 is a `hidden beast` number, since 2 + 9 + 4 + 4 + 631 + 6 + 6 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3869044 + ... + 3869804.

It is an arithmetic number, because the mean of its divisors is an integer number (38905434).

Almost surely, 2^2944631664 is an apocalyptic number.

2944631664 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 2944631664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4668652080).

2944631664 is an abundant number, since it is smaller than the sum of its proper divisors (6392672496).

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

2944631664 is a wasteful number, since it uses less digits than its factorization.

2944631664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 832 counting only the distinct ones).

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

The square root of 2944631664 is about 54264.4604137920. The cubic root of 2944631664 is about 1433.3216448058.

The spelling of 2944631664 in words is "two billion, nine hundred forty-four million, six hundred thirty-one thousand, six hundred sixty-four".