2609840 has 80 divisors (see below), whose sum is σ = 6829920. Its totient is φ = 921600.

The previous prime is 2609813. The next prime is 2609899. The reversal of 2609840 is 489062.

2609840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2609840² = 13622529651200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25790 + ... + 25890.

It is an arithmetic number, because the mean of its divisors is an integer number (85374).

2^2609840 is an apocalyptic number.

2609840 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 1615×1616.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2609840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3414960).

2609840 is an abundant number, since it is smaller than the sum of its proper divisors (4220080).

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

2609840 is a wasteful number, since it uses less digits than its factorization.

2609840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 2609840 is about 1615.4999226246. The cubic root of 2609840 is about 137.6801385533.

The spelling of 2609840 in words is "two million, six hundred nine thousand, eight hundred forty".