2653820 has 48 divisors (see below), whose sum is σ = 6138720. Its totient is φ = 957696.

The previous prime is 2653813. The next prime is 2653841. The reversal of 2653820 is 283562.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 2653820.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15254 + ... + 15426.

It is an arithmetic number, because the mean of its divisors is an integer number (127890).

2^2653820 is an apocalyptic number.

2653820 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 2653820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3069360).

2653820 is an abundant number, since it is smaller than the sum of its proper divisors (3484900).

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

2653820 is a wasteful number, since it uses less digits than its factorization.

2653820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 2653820 is about 1629.0549407555. The cubic root of 2653820 is about 138.4492117865.

The spelling of 2653820 in words is "two million, six hundred fifty-three thousand, eight hundred twenty".