2102984 has 32 divisors (see below), whose sum is σ = 4320120. Its totient is φ = 953856.

The previous prime is 2102941. The next prime is 2102999. The reversal of 2102984 is 4892012.

It can be written as a sum of positive squares in 4 ways, for example, as 1162084 + 940900 = 1078^2 + 970^2 .

It is a super-3 number, since 3×2102984³ = 27901603330149299712, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

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, 7454 + ... + 7730.

2^2102984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2102984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2160060).

2102984 is an abundant number, since it is smaller than the sum of its proper divisors (2217136).

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

2102984 is a wasteful number, since it uses less digits than its factorization.

2102984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 2102984 is about 1450.1668869478. The cubic root of 2102984 is about 128.1185425260.

Adding to 2102984 its reverse (4892012), we get a palindrome (6994996).

It can be divided in two parts, 210 and 2984, that multiplied together give a triangular number (626640 = T₁₁₁₉).

The spelling of 2102984 in words is "two million, one hundred two thousand, nine hundred eighty-four".