2264227416 has 384 divisors, whose sum is σ = 7642252800. Its totient is φ = 596643840.

The previous prime is 2264227411. The next prime is 2264227429. The reversal of 2264227416 is 6147224622.

2264227416 is a `hidden beast` number, since 2 + 2 + 642 + 2 + 7 + 4 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2264227411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13558165 + ... + 13558331.

It is an arithmetic number, because the mean of its divisors is an integer number (19901700).

Almost surely, 2^2264227416 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 2264227416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3821126400).

2264227416 is an abundant number, since it is smaller than the sum of its proper divisors (5378025384).

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

2264227416 is a wasteful number, since it uses less digits than its factorization.

2264227416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 272 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 2264227416 is about 47583.8987053394. The cubic root of 2264227416 is about 1313.1268498478.

The spelling of 2264227416 in words is "two billion, two hundred sixty-four million, two hundred twenty-seven thousand, four hundred sixteen".