2200320581904 has 180 divisors, whose sum is σ = 6523197583500. Its totient is φ = 692250637824.

The previous prime is 2200320581869. The next prime is 2200320581971. The reversal of 2200320581904 is 4091850230022.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 593886009600 + 1606434572304 = 770640^2 + 1267452^2 .

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

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 35 ways as a sum of consecutive naturals, for example, 13905022 + ... + 14062370.

It is an arithmetic number, because the mean of its divisors is an integer number (36239986575).

Almost surely, 2^{2200320581904} is an apocalyptic number.

2200320581904 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 2200320581904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3261598791750).

2200320581904 is an abundant number, since it is smaller than the sum of its proper divisors (4322877001596).

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

2200320581904 is a wasteful number, since it uses less digits than its factorization.

2200320581904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157670 (or 157642 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

It can be divided in two parts, 2200320 and 581904, that added together give a square (2782224 = 1668²).

The spelling of 2200320581904 in words is "two trillion, two hundred billion, three hundred twenty million, five hundred eighty-one thousand, nine hundred four".