2982000 has 160 divisors (see below), whose sum is σ = 11142144. Its totient is φ = 672000.

The previous prime is 2981999. The next prime is 2982011. The reversal of 2982000 is 2892.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41965 + ... + 42035.

2^2982000 is an apocalyptic number.

2982000 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 2982000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5571072).

2982000 is an abundant number, since it is smaller than the sum of its proper divisors (8160144).

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

2982000 is a wasteful number, since it uses less digits than its factorization.

2982000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 2982000 is about 1726.8468374468. The cubic root of 2982000 is about 143.9359282861.

Adding to 2982000 its reverse (2892), we get a palindrome (2984892).

The spelling of 2982000 in words is "two million, nine hundred eighty-two thousand".