2267136 has 96 divisors (see below), whose sum is σ = 6879600. Its totient is φ = 737280.

The previous prime is 2267131. The next prime is 2267141. The reversal of 2267136 is 6317622.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2267131) and next prime (2267141).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-4 number, since 4×2267136⁴ (a number of 27 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (3024) is a multiple of the sum of its prime factors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2267131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55276 + ... + 55316.

2^2267136 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 2267136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3439800).

2267136 is an abundant number, since it is smaller than the sum of its proper divisors (4612464).

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

2267136 is an equidigital number, since it uses as much as digits as its factorization.

2267136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 46 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 2267136 is about 1505.7011655704. The cubic root of 2267136 is about 131.3688881952.

The spelling of 2267136 in words is "two million, two hundred sixty-seven thousand, one hundred thirty-six".