2287620 has 72 divisors (see below), whose sum is σ = 7076160. Its totient is φ = 598080.

The previous prime is 2287613. The next prime is 2287627. The reversal of 2287620 is 267822.

It is an interprime number because it is at equal distance from previous prime (2287613) and next prime (2287627).

It is not an unprimeable number, because it can be changed into a prime (2287627) 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 23 ways as a sum of consecutive naturals, for example, 12691 + ... + 12869.

It is an arithmetic number, because the mean of its divisors is an integer number (98280).

2^2287620 is an apocalyptic number.

2287620 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 2287620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3538080).

2287620 is an abundant number, since it is smaller than the sum of its proper divisors (4788540).

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

2287620 is a wasteful number, since it uses less digits than its factorization.

2287620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 260 counting only the distinct ones).

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

The square root of 2287620 is about 1512.4880164815. The cubic root of 2287620 is about 131.7633500917.

The spelling of 2287620 in words is "two million, two hundred eighty-seven thousand, six hundred twenty".