2262720 has 56 divisors (see below), whose sum is σ = 7187184. Its totient is φ = 603136.

The previous prime is 2262713. The next prime is 2262727. The reversal of 2262720 is 272622.

It is an interprime number because it is at equal distance from previous prime (2262713) and next prime (2262727).

It is not an unprimeable number, because it can be changed into a prime (2262727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 219 + ... + 2138.

2^2262720 is an apocalyptic number.

2262720 is a gapful number since it is divisible by the number (20) 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 2262720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3593592).

2262720 is an abundant number, since it is smaller than the sum of its proper divisors (4924464).

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

2262720 is a wasteful number, since it uses less digits than its factorization.

2262720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2377 (or 2367 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 2262720 is about 1504.2340243459. The cubic root of 2262720 is about 131.2835379147.

The spelling of 2262720 in words is "two million, two hundred sixty-two thousand, seven hundred twenty".