2904347664 has 105 divisors (see below), whose sum is σ = 8453842383. Its totient is φ = 966175776.

The previous prime is 2904347659. The next prime is 2904347669. The reversal of 2904347664 is 4667434092.

It is a happy number.

The square root of 2904347664 is 53892.

It is a perfect power (a square), and thus also a powerful number.

2904347664 is a `hidden beast` number, since 2 + 90 + 434 + 76 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (2904347659) and next prime (2904347669).

It is not an unprimeable number, because it can be changed into a prime (2904347669) 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 20 ways as a sum of consecutive naturals, for example, 5820087 + ... + 5820585.

Almost surely, 2^2904347664 is an apocalyptic number.

2904347664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2904347664 is the 53892-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2904347664

2904347664 is an abundant number, since it is smaller than the sum of its proper divisors (5549494719).

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

2904347664 is an frugal number, since it uses more digits than its factorization.

2904347664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The cubic root of 2904347664 is about 1426.7554299835.

The spelling of 2904347664 in words is "two billion, nine hundred four million, three hundred forty-seven thousand, six hundred sixty-four".