2945884032 has 1024 divisors, whose sum is σ = 12337920000. Its totient is φ = 668860416.

The previous prime is 2945883943. The next prime is 2945884043. The reversal of 2945884032 is 2304885492.

2945884032 is a `hidden beast` number, since 29 + 4 + 588 + 40 + 3 + 2 = 666.

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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 101582194 + ... + 101582222.

It is an arithmetic number, because the mean of its divisors is an integer number (12048750).

Almost surely, 2^2945884032 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 2945884032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6168960000).

2945884032 is an abundant number, since it is smaller than the sum of its proper divisors (9392035968).

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

2945884032 is a wasteful number, since it uses less digits than its factorization.

2945884032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 2945884032 is about 54275.9986734468. The cubic root of 2945884032 is about 1433.5248158581.

The spelling of 2945884032 in words is "two billion, nine hundred forty-five million, eight hundred eighty-four thousand, thirty-two".