2102820 has 48 divisors (see below), whose sum is σ = 5963328. Its totient is φ = 553600.

The previous prime is 2102809. The next prime is 2102831. The reversal of 2102820 is 282012.

It is an interprime number because it is at equal distance from previous prime (2102809) and next prime (2102831).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2102820.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5887 + ... + 6233.

It is an arithmetic number, because the mean of its divisors is an integer number (124236).

2^2102820 is an apocalyptic number.

2102820 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 2102820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2981664).

2102820 is an abundant number, since it is smaller than the sum of its proper divisors (3860508).

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

2102820 is a wasteful number, since it uses less digits than its factorization.

2102820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2102820 is about 1450.1103406293. The cubic root of 2102820 is about 128.1152120225.

Adding to 2102820 its reverse (282012), we get a palindrome (2384832).

The spelling of 2102820 in words is "two million, one hundred two thousand, eight hundred twenty".