2820720 has 160 divisors (see below), whose sum is σ = 10570752. Its totient is φ = 608256.

The previous prime is 2820709. The next prime is 2820733. The reversal of 2820720 is 270282.

2820720 = T₁₁₉ + T₁₂₀ + ... + T₂₆₄.

It is a super-2 number, since 2×2820720² = 15912922636800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38604 + ... + 38676.

2^2820720 is an apocalyptic number.

2820720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is a pronic number, being equal to 1679×1680.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2820720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5285376).

2820720 is an abundant number, since it is smaller than the sum of its proper divisors (7750032).

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

2820720 is a wasteful number, since it uses less digits than its factorization.

2820720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 2820720 is about 1679.4999255731. The cubic root of 2820720 is about 141.2927873091.

The spelling of 2820720 in words is "two million, eight hundred twenty thousand, seven hundred twenty".