2904272064 has 112 divisors (see below), whose sum is σ = 8746479840. Its totient is φ = 944455680.

The previous prime is 2904272057. The next prime is 2904272131. The reversal of 2904272064 is 4602724092.

2904272064 is a `hidden beast` number, since 29 + 0 + 427 + 206 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50352 + ... + 91344.

It is an arithmetic number, because the mean of its divisors is an integer number (78093570).

Almost surely, 2^2904272064 is an apocalyptic number.

2904272064 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 2904272064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4373239920).

2904272064 is an abundant number, since it is smaller than the sum of its proper divisors (5842207776).

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

2904272064 is a wasteful number, since it uses less digits than its factorization.

2904272064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41055 (or 41039 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2904272064 is about 53891.2985926300. The cubic root of 2904272064 is about 1426.7430504226.

The spelling of 2904272064 in words is "two billion, nine hundred four million, two hundred seventy-two thousand, sixty-four".