2114820 has 72 divisors (see below), whose sum is σ = 6639360. Its totient is φ = 544320.

The previous prime is 2114813. The next prime is 2114831. The reversal of 2114820 is 284112.

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

It is a junction number, because it is equal to n+sod(n) for n = 2114793 and 2114802.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5391 + ... + 5769.

2^2114820 is an apocalyptic number.

2114820 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 2114820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3319680).

2114820 is an abundant number, since it is smaller than the sum of its proper divisors (4524540).

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

2114820 is a wasteful number, since it uses less digits than its factorization.

2114820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 2114820 is about 1454.2420706334. The cubic root of 2114820 is about 128.3584516340.

Adding to 2114820 its reverse (284112), we get a palindrome (2398932).

It can be divided in two parts, 21 and 14820, that added together give a palindrome (14841).

The spelling of 2114820 in words is "two million, one hundred fourteen thousand, eight hundred twenty".