2985864 has 48 divisors (see below), whose sum is σ = 8686800. Its totient is φ = 852768.

The previous prime is 2985847. The next prime is 2985881. The reversal of 2985864 is 4685892.

2985864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2985847) and next prime (2985881).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an Ulam number.

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94 + ... + 2445.

It is an arithmetic number, because the mean of its divisors is an integer number (180975).

2^2985864 is an apocalyptic number.

2985864 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 2985864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4343400).

2985864 is an abundant number, since it is smaller than the sum of its proper divisors (5700936).

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

2985864 is a wasteful number, since it uses less digits than its factorization.

2985864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2562 (or 2551 counting only the distinct ones).

The product of its digits is 138240, while the sum is 42.

The square root of 2985864 is about 1727.9652774289. The cubic root of 2985864 is about 143.9980709618.

The spelling of 2985864 in words is "two million, nine hundred eighty-five thousand, eight hundred sixty-four".