2264207616 has 216 divisors, whose sum is σ = 7298796960. Its totient is φ = 669081600.

The previous prime is 2264207609. The next prime is 2264207651. The reversal of 2264207616 is 6167024622.

2264207616 is a `hidden beast` number, since 2 + 2 + 642 + 0 + 7 + 6 + 1 + 6 = 666.

It is a super-2 number, since 2×2264207616² = 10253272256704806912, which contains 22 as substring.

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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1038015 + ... + 1040193.

Almost surely, 2^2264207616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2264207616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3649398480).

2264207616 is an abundant number, since it is smaller than the sum of its proper divisors (5034589344).

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

2264207616 is a wasteful number, since it uses less digits than its factorization.

2264207616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2253 (or 2236 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2264207616 is about 47583.6906513146. The cubic root of 2264207616 is about 1313.1230222012.

The spelling of 2264207616 in words is "two billion, two hundred sixty-four million, two hundred seven thousand, six hundred sixteen".