2190508320 has 768 divisors, whose sum is σ = 9559130112. Its totient is φ = 406978560.

The previous prime is 2190508303. The next prime is 2190508337. The reversal of 2190508320 is 238050912.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2190508303) and next prime (2190508337).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22582512 + ... + 22582608.

It is an arithmetic number, because the mean of its divisors is an integer number (12446784).

Almost surely, 2^2190508320 is an apocalyptic number.

2190508320 is a gapful number since it is divisible by the number (20) 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 2190508320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4779565056).

2190508320 is an abundant number, since it is smaller than the sum of its proper divisors (7368621792).

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

2190508320 is a wasteful number, since it uses less digits than its factorization.

2190508320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 2190508320 is about 46802.8665788753. The cubic root of 2190508320 is about 1298.7183265536.

The spelling of 2190508320 in words is "two billion, one hundred ninety million, five hundred eight thousand, three hundred twenty".