2190240000 has 675 divisors, whose sum is σ = 8837072013. Its totient is φ = 539136000.

The previous prime is 2190239981. The next prime is 2190240037. The reversal of 2190240000 is 420912.

The square root of 2190240000 is 46800.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 2163366144 + 26873856 = 46512^2 + 5184^2 .

It is a tau number, because it is divible by the number of its divisors (675).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 168479994 + ... + 168480006.

Almost surely, 2^2190240000 is an apocalyptic number.

2190240000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2190240000 is the 46800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2190240000

2190240000 is an abundant number, since it is smaller than the sum of its proper divisors (6646832013).

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

2190240000 is an frugal number, since it uses more digits than its factorization.

2190240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The cubic root of 2190240000 is about 1298.6652968028.

Multiplying 2190240000 by its product of nonzero digits (144), we get a square (315394560000 = 561600²).

2190240000 divided by its product of nonzero digits (144) gives a square (15210000 = 3900²).

Adding to 2190240000 its reverse (420912), we get a palindrome (2190660912).

The spelling of 2190240000 in words is "two billion, one hundred ninety million, two hundred forty thousand".