2005522048 has 64 divisors (see below), whose sum is σ = 4219862400. Its totient is φ = 946778112.

The previous prime is 2005522027. The next prime is 2005522069. The reversal of 2005522048 is 8402255002.

It is an interprime number because it is at equal distance from previous prime (2005522027) and next prime (2005522069).

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

It is a super-2 number, since 2×2005522048² = 8044237370028228608, which contains 22 as substring.

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, 818361 + ... + 820807.

It is an arithmetic number, because the mean of its divisors is an integer number (65935350).

Almost surely, 2^2005522048 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 2005522048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2109931200).

2005522048 is an abundant number, since it is smaller than the sum of its proper divisors (2214340352).

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

2005522048 is a wasteful number, since it uses less digits than its factorization.

2005522048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2817 (or 2805 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

The square root of 2005522048 is about 44783.0553669577. The cubic root of 2005522048 is about 1261.0795417592.

The spelling of 2005522048 in words is "two billion, five million, five hundred twenty-two thousand, forty-eight".