2267606016 has 264 divisors, whose sum is σ = 7322921424. Its totient is φ = 696729600.

The previous prime is 2267605973. The next prime is 2267606027. The reversal of 2267606016 is 6106067622.

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, 3234466 + ... + 3235166.

Almost surely, 2^2267606016 is an apocalyptic number.

2267606016 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 2267606016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3661460712).

2267606016 is an abundant number, since it is smaller than the sum of its proper divisors (5055315408).

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

2267606016 is an equidigital number, since it uses as much as digits as its factorization.

2267606016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 2267606016 is about 47619.3869763146. The cubic root of 2267606016 is about 1313.7796590567.

The spelling of 2267606016 in words is "two billion, two hundred sixty-seven million, six hundred six thousand, sixteen".