2001082860 has 192 divisors, whose sum is σ = 7344906240. Its totient is φ = 442609920.

The previous prime is 2001082847. The next prime is 2001082901. The reversal of 2001082860 is 682801002.

It is a super-2 number, since 2×2001082860² = 8008665225171559200, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 108642 + ... + 125718.

It is an arithmetic number, because the mean of its divisors is an integer number (38254720).

Almost surely, 2^2001082860 is an apocalyptic number.

2001082860 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 2001082860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3672453120).

2001082860 is an abundant number, since it is smaller than the sum of its proper divisors (5343823380).

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

2001082860 is a wasteful number, since it uses less digits than its factorization.

2001082860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17133 (or 17125 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 2001082860 is about 44733.4646545514. The cubic root of 2001082860 is about 1260.1483952206.

Adding to 2001082860 its reverse (682801002), we get a palindrome (2683883862).

The spelling of 2001082860 in words is "two billion, one million, eighty-two thousand, eight hundred sixty".