2210265616 has 80 divisors (see below), whose sum is σ = 4756195584. Its totient is φ = 988618752.

The previous prime is 2210265599. The next prime is 2210265619. The reversal of 2210265616 is 6165620122.

2210265616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2210265619) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1044976 + ... + 1047088.

Almost surely, 2^2210265616 is an apocalyptic number.

2210265616 is a gapful number since it is divisible by the number (26) 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 2210265616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2378097792).

2210265616 is an abundant number, since it is smaller than the sum of its proper divisors (2545929968).

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

2210265616 is a wasteful number, since it uses less digits than its factorization.

2210265616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2288 (or 2282 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 2210265616 is about 47013.4620720491. The cubic root of 2210265616 is about 1302.6112437237.

Adding to 2210265616 its reverse (6165620122), we get a palindrome (8375885738).

The spelling of 2210265616 in words is "two billion, two hundred ten million, two hundred sixty-five thousand, six hundred sixteen".