2824709904 has 135 divisors (see below), whose sum is σ = 8172722727. Its totient is φ = 910744128.

The previous prime is 2824709893. The next prime is 2824709933. The reversal of 2824709904 is 4099074282.

The square root of 2824709904 is 53148.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2824709904.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 27424317 + ... + 27424419.

Almost surely, 2^2824709904 is an apocalyptic number.

2824709904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2824709904 is the 53148-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2824709904

2824709904 is an abundant number, since it is smaller than the sum of its proper divisors (5348012823).

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

2824709904 is a wasteful number, since it uses less digits than its factorization.

2824709904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The cubic root of 2824709904 is about 1413.5937539779.

The spelling of 2824709904 in words is "two billion, eight hundred twenty-four million, seven hundred nine thousand, nine hundred four".