2208006864 has 140 divisors (see below), whose sum is σ = 7330654816. Its totient is φ = 630835776.

The previous prime is 2208006863. The next prime is 2208006893. The reversal of 2208006864 is 4686008022.

It is a super-2 number, since 2×2208006864² = 9750588622942228992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

2208006864 is a modest number, since divided by 6864 gives 2208 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2208006863) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 68127 + ... + 95169.

Almost surely, 2^2208006864 is an apocalyptic number.

2208006864 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 2208006864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3665327408).

2208006864 is an abundant number, since it is smaller than the sum of its proper divisors (5122647952).

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

2208006864 is an equidigital number, since it uses as much as digits as its factorization.

2208006864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27076 (or 27055 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2208006864 is about 46989.4335356365. The cubic root of 2208006864 is about 1302.1673636498.

The spelling of 2208006864 in words is "two billion, two hundred eight million, six thousand, eight hundred sixty-four".