2904763680 has 576 divisors, whose sum is σ = 12667269888. Its totient is φ = 612126720.

The previous prime is 2904763669. The next prime is 2904763691. The reversal of 2904763680 is 863674092.

2904763680 is a `hidden beast` number, since 2 + 9 + 0 + 4 + 7 + 636 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2904763669) and next prime (2904763691).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 3537670 + ... + 3538490.

It is an arithmetic number, because the mean of its divisors is an integer number (21991788).

Almost surely, 2^2904763680 is an apocalyptic number.

2904763680 is a gapful number since it is divisible by the number (20) 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 2904763680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6333634944).

2904763680 is an abundant number, since it is smaller than the sum of its proper divisors (9762506208).

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

2904763680 is a wasteful number, since it uses less digits than its factorization.

2904763680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 851 counting only the distinct ones).

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

The square root of 2904763680 is about 53895.8595812331. The cubic root of 2904763680 is about 1426.8235490953.

The spelling of 2904763680 in words is "two billion, nine hundred four million, seven hundred sixty-three thousand, six hundred eighty".