2004948288 has 294 divisors, whose sum is σ = 6946935306. Its totient is φ = 572189184.

The previous prime is 2004948277. The next prime is 2004948307. The reversal of 2004948288 is 8828494002.

It is a happy number.

2004948288 is a `hidden beast` number, since 2 + 0 + 0 + 494 + 82 + 88 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1922647104 + 82301184 = 43848^2 + 9072^2 .

It is a tau number, because it is divible by the number of its divisors (294).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 2285706 + ... + 2286582.

Almost surely, 2^2004948288 is an apocalyptic number.

2004948288 is a gapful number since it is divisible by the number (28) 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 2004948288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3473467653).

2004948288 is an abundant number, since it is smaller than the sum of its proper divisors (4941987018).

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

2004948288 is an frugal number, since it uses more digits than its factorization.

2004948288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 2004948288 is about 44776.6489143616. The cubic root of 2004948288 is about 1260.9592694988.

The spelling of 2004948288 in words is "two billion, four million, nine hundred forty-eight thousand, two hundred eighty-eight".