2204749584 has 160 divisors (see below), whose sum is σ = 6783315840. Its totient is φ = 683163648.

The previous prime is 2204749579. The next prime is 2204749633. The reversal of 2204749584 is 4859474022.

2204749584 is a `hidden beast` number, since 2 + 20 + 4 + 7 + 49 + 584 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 607744 + ... + 611360.

It is an arithmetic number, because the mean of its divisors is an integer number (42395724).

Almost surely, 2^2204749584 is an apocalyptic number.

2204749584 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 2204749584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3391657920).

2204749584 is an abundant number, since it is smaller than the sum of its proper divisors (4578566256).

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

2204749584 is a wasteful number, since it uses less digits than its factorization.

2204749584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3734 (or 3722 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 2204749584 is about 46954.7610365552. The cubic root of 2204749584 is about 1301.5267238633.

It can be divided in two parts, 22047 and 49584, that added together give a triangular number (71631 = T₃₇₈).

The spelling of 2204749584 in words is "two billion, two hundred four million, seven hundred forty-nine thousand, five hundred eighty-four".