2282400 has 108 divisors (see below), whose sum is σ = 8073702. Its totient is φ = 606720.

The previous prime is 2282393. The next prime is 2282407. The reversal of 2282400 is 42822.

It is an interprime number because it is at equal distance from previous prime (2282393) and next prime (2282407).

It can be written as a sum of positive squares in 3 ways, for example, as 1089936 + 1192464 = 1044^2 + 1092^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2282407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7042 + ... + 7358.

2^2282400 is an apocalyptic number.

2282400 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 2282400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4036851).

2282400 is an abundant number, since it is smaller than the sum of its proper divisors (5791302).

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

2282400 is a wasteful number, since it uses less digits than its factorization.

2282400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2282400 is about 1510.7613974417. The cubic root of 2282400 is about 131.6630524743.

It can be divided in two parts, 228 and 2400, that added together give a triangular number (2628 = T₇₂).

The spelling of 2282400 in words is "two million, two hundred eighty-two thousand, four hundred".