2042820 has 120 divisors (see below), whose sum is σ = 6972504. Its totient is φ = 497664.

The previous prime is 2042819. The next prime is 2042849. The reversal of 2042820 is 282402.

It can be written as a sum of positive squares in 4 ways, for example, as 20736 + 2022084 = 144^2 + 1422^2 .

It is a super-2 number, since 2×2042820² = 8346227104800, which contains 22 as substring.

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 = 2042793 and 2042802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21012 + ... + 21108.

2^2042820 is an apocalyptic number.

2042820 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 2042820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3486252).

2042820 is an abundant number, since it is smaller than the sum of its proper divisors (4929684).

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

2042820 is a wasteful number, since it uses less digits than its factorization.

2042820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2042820 is about 1429.2725422396. The cubic root of 2042820 is about 126.8849268685.

The spelling of 2042820 in words is "two million, forty-two thousand, eight hundred twenty".