2005280064 has 140 divisors (see below), whose sum is σ = 6257442400. Its totient is φ = 633215232.

The previous prime is 2005280059. The next prime is 2005280071. The reversal of 2005280064 is 4600825002.

It is a super-2 number, since 2×2005280064² = 8042296270151688192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 88317 + ... + 108675.

Almost surely, 2^2005280064 is an apocalyptic number.

2005280064 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 2005280064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3128721200).

2005280064 is an abundant number, since it is smaller than the sum of its proper divisors (4252162336).

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

2005280064 is a wasteful number, since it uses less digits than its factorization.

2005280064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20402 (or 20383 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2005280064 is about 44780.3535492966. The cubic root of 2005280064 is about 1261.0288195800.

The spelling of 2005280064 in words is "two billion, five million, two hundred eighty thousand, sixty-four".