2206318752 has 288 divisors, whose sum is σ = 7362036864. Its totient is φ = 619315200.

The previous prime is 2206318733. The next prime is 2206318759. The reversal of 2206318752 is 2578136022.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (2206318759) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3823488 + ... + 3824064.

It is an arithmetic number, because the mean of its divisors is an integer number (25562628).

Almost surely, 2^2206318752 is an apocalyptic number.

2206318752 is a gapful number since it is divisible by the number (22) 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 2206318752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3681018432).

2206318752 is an abundant number, since it is smaller than the sum of its proper divisors (5155718112).

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

2206318752 is a wasteful number, since it uses less digits than its factorization.

2206318752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2206318752 is about 46971.4674243843. The cubic root of 2206318752 is about 1301.8354255518.

The spelling of 2206318752 in words is "two billion, two hundred six million, three hundred eighteen thousand, seven hundred fifty-two".