2270268 has 180 divisors, whose sum is σ = 8110872. Its totient is φ = 544320.

The previous prime is 2270267. The next prime is 2270269. The reversal of 2270268 is 8620722.

It is an interprime number because it is at equal distance from previous prime (2270267) and next prime (2270269).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2270263) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 174630 + ... + 174642.

2^2270268 is an apocalyptic number.

2270268 is a gapful number since it is divisible by the number (28) 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 2270268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4055436).

2270268 is an abundant number, since it is smaller than the sum of its proper divisors (5840604).

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

2270268 is a wasteful number, since it uses less digits than its factorization.

2270268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2270268 is about 1506.7408536308. The cubic root of 2270268 is about 131.4293547977.

The spelling of 2270268 in words is "two million, two hundred seventy thousand, two hundred sixty-eight".