2290210000 has 200 divisors, whose sum is σ = 6074055680. Its totient is φ = 831168000.

The previous prime is 2290209983. The next prime is 2290210003. The reversal of 2290210000 is 120922.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2290210003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10269889 + ... + 10270111.

Almost surely, 2^2290210000 is an apocalyptic number.

2290210000 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 2290210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3037027840).

2290210000 is an abundant number, since it is smaller than the sum of its proper divisors (3783845680).

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

2290210000 is a wasteful number, since it uses less digits than its factorization.

2290210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 2290210000 is about 47856.1385822133. The cubic root of 2290210000 is about 1318.1305799274.

Adding to 2290210000 its reverse (120922), we get a palindrome (2290330922).

The spelling of 2290210000 in words is "two billion, two hundred ninety million, two hundred ten thousand".