2609820 has 84 divisors (see below), whose sum is σ = 8263080. Its totient is φ = 692064.

The previous prime is 2609813. The next prime is 2609899. The reversal of 2609820 is 289062.

It is a super-2 number, since 2×2609820² = 13622320864800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 14491 + ... + 14669.

It is an arithmetic number, because the mean of its divisors is an integer number (98370).

2^2609820 is an apocalyptic number.

2609820 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 2609820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4131540).

2609820 is an abundant number, since it is smaller than the sum of its proper divisors (5653260).

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

2609820 is a wasteful number, since it uses less digits than its factorization.

2609820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2609820 is about 1615.4937325784. The cubic root of 2609820 is about 137.6797868575.

The spelling of 2609820 in words is "two million, six hundred nine thousand, eight hundred twenty".