2005737088 has 64 divisors (see below), whose sum is σ = 4097125800. Its totient is φ = 977686528.

The previous prime is 2005737053. The next prime is 2005737101. The reversal of 2005737088 is 8807375002.

It can be written as a sum of positive squares in 4 ways, for example, as 1921244224 + 84492864 = 43832^2 + 9192^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 2005737088.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1172778 + ... + 1174486.

Almost surely, 2^2005737088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2005737088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2048562900).

2005737088 is an abundant number, since it is smaller than the sum of its proper divisors (2091388712).

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

2005737088 is a wasteful number, since it uses less digits than its factorization.

2005737088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1949 (or 1937 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 40.

The square root of 2005737088 is about 44785.4562106941. The cubic root of 2005737088 is about 1261.1246127924.

The spelling of 2005737088 in words is "two billion, five million, seven hundred thirty-seven thousand, eighty-eight".