2282742 has 96 divisors (see below), whose sum is σ = 6499584. Its totient is φ = 583200.

The previous prime is 2282737. The next prime is 2282759. The reversal of 2282742 is 2472822.

It is a super-2 number, since 2×2282742² = 10421822077128, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37392 + ... + 37452.

It is an arithmetic number, because the mean of its divisors is an integer number (67704).

2^2282742 is an apocalyptic number.

2282742 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2282742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3249792).

2282742 is an abundant number, since it is smaller than the sum of its proper divisors (4216842).

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

2282742 is a wasteful number, since it uses less digits than its factorization.

2282742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 84 counting only the distinct ones).

The product of its digits is 3584, while the sum is 27.

The square root of 2282742 is about 1510.8745811615. The cubic root of 2282742 is about 131.6696283761.

The spelling of 2282742 in words is "two million, two hundred eighty-two thousand, seven hundred forty-two".