2904706944 has 192 divisors, whose sum is σ = 8698560000. Its totient is φ = 929387520.

The previous prime is 2904706943. The next prime is 2904706949. The reversal of 2904706944 is 4496074092.

2904706944 is a `hidden beast` number, since 2 + 90 + 470 + 6 + 94 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 2904706944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2904706943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5820807 + ... + 5821305.

It is an arithmetic number, because the mean of its divisors is an integer number (45305000).

Almost surely, 2^2904706944 is an apocalyptic number.

2904706944 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 2904706944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4349280000).

2904706944 is an abundant number, since it is smaller than the sum of its proper divisors (5793853056).

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

2904706944 is a wasteful number, since it uses less digits than its factorization.

2904706944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 2904706944 is about 53895.3332302529. Note that the first 3 decimals coincide. The cubic root of 2904706944 is about 1426.8142594368.

The spelling of 2904706944 in words is "two billion, nine hundred four million, seven hundred six thousand, nine hundred forty-four".