2116820 has 24 divisors (see below), whose sum is σ = 4531464. Its totient is φ = 830336.

The previous prime is 2116817. The next prime is 2116837. The reversal of 2116820 is 286112.

It can be written as a sum of positive squares in 4 ways, for example, as 31684 + 2085136 = 178^2 + 1444^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2116792 and 2116801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62 + ... + 2058.

It is an arithmetic number, because the mean of its divisors is an integer number (188811).

2^2116820 is an apocalyptic number.

2116820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2116820 is an abundant number, since it is smaller than the sum of its proper divisors (2414644).

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

2116820 is a wasteful number, since it uses less digits than its factorization.

2116820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2059 (or 2057 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 2116820 is about 1454.9295515591. The cubic root of 2116820 is about 128.3989020458.

It can be divided in two parts, 21 and 16820, that multiplied together give a triangular number (353220 = T₈₄₀).

The spelling of 2116820 in words is "two million, one hundred sixteen thousand, eight hundred twenty".