2005896960 has 216 divisors, whose sum is σ = 7198354800. Its totient is φ = 534822912.

The previous prime is 2005896931. The next prime is 2005896967. The reversal of 2005896960 is 696985002.

2005896960 is a `hidden beast` number, since 2 + 0 + 0 + 589 + 6 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×2005896960² = 8047245228274483200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005896967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 307816 + ... + 314264.

Almost surely, 2^2005896960 is an apocalyptic number.

2005896960 is a gapful number since it is divisible by the number (20) 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 2005896960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3599177400).

2005896960 is an abundant number, since it is smaller than the sum of its proper divisors (5192457840).

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

2005896960 is an frugal number, since it uses more digits than its factorization.

2005896960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6485 (or 6459 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 2005896960 is about 44787.2410402784. The cubic root of 2005896960 is about 1261.1581188717.

The spelling of 2005896960 in words is "two billion, five million, eight hundred ninety-six thousand, nine hundred sixty".