2904769800 has 72 divisors (see below), whose sum is σ = 9755191290. Its totient is φ = 774604800.

The previous prime is 2904769789. The next prime is 2904769801. The reversal of 2904769800 is 89674092.

It is a happy number.

2904769800 is a `hidden beast` number, since 2 + 90 + 476 + 98 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1774599876 + 1130169924 = 42126^2 + 33618^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (2904769801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 805081 + ... + 808680.

Almost surely, 2^2904769800 is an apocalyptic number.

2904769800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2904769800 is an abundant number, since it is smaller than the sum of its proper divisors (6850421490).

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

2904769800 is a wasteful number, since it uses less digits than its factorization.

2904769800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1613783 (or 1613771 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 2904769800 is about 53895.9163573642. The cubic root of 2904769800 is about 1426.8245511451.

The spelling of 2904769800 in words is "two billion, nine hundred four million, seven hundred sixty-nine thousand, eight hundred".