2208152064 has 80 divisors (see below), whose sum is σ = 5892480000. Its totient is φ = 734822400.

The previous prime is 2208152029. The next prime is 2208152077. The reversal of 2208152064 is 4602518022.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1767312 + ... + 1768560.

It is an arithmetic number, because the mean of its divisors is an integer number (73656000).

Almost surely, 2^2208152064 is an apocalyptic number.

2208152064 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 2208152064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2946240000).

2208152064 is an abundant number, since it is smaller than the sum of its proper divisors (3684327936).

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

2208152064 is a wasteful number, since it uses less digits than its factorization.

2208152064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2421 (or 2405 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 2208152064 is about 46990.9785384386. The cubic root of 2208152064 is about 1302.1959068215.

The spelling of 2208152064 in words is "two billion, two hundred eight million, one hundred fifty-two thousand, sixty-four".