2005021860 has 48 divisors (see below), whose sum is σ = 5765798976. Its totient is φ = 520221312.

The previous prime is 2005021859. The next prime is 2005021861. The reversal of 2005021860 is 681205002.

It is an interprime number because it is at equal distance from previous prime (2005021859) and next prime (2005021861).

It is a super-2 number, since 2×2005021860² = 8040225318155719200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2005021860.

It is not an unprimeable number, because it can be changed into a prime (2005021861) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 449362 + ... + 453801.

It is an arithmetic number, because the mean of its divisors is an integer number (120120812).

Almost surely, 2^2005021860 is an apocalyptic number.

2005021860 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2005021860 is an abundant number, since it is smaller than the sum of its proper divisors (3760777116).

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

2005021860 is a wasteful number, since it uses less digits than its factorization.

2005021860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903212 (or 903210 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 2005021860 is about 44777.4704511097. The cubic root of 2005021860 is about 1260.9746930322.

Adding to 2005021860 its reverse (681205002), we get a palindrome (2686226862).

It can be divided in two parts, 20050218 and 60, that added together give a triangular number (20050278 = T₆₃₃₂).

The spelling of 2005021860 in words is "two billion, five million, twenty-one thousand, eight hundred sixty".