2609880 has 128 divisors (see below), whose sum is σ = 9676800. Its totient is φ = 548352.

The previous prime is 2609813. The next prime is 2609899. The reversal of 2609880 is 889062.

2609880 = T₄₃₅ + T₄₃₆ + ... + T₄₆₀.

It is a super-3 number, since 3×2609880³ = 53331386270250816000, which contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 10801 + ... + 11039.

It is an arithmetic number, because the mean of its divisors is an integer number (75600).

2^2609880 is an apocalyptic number.

2609880 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 2609880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4838400).

2609880 is an abundant number, since it is smaller than the sum of its proper divisors (7066920).

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

2609880 is a wasteful number, since it uses less digits than its factorization.

2609880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 2609880 is about 1615.5123026458. The cubic root of 2609880 is about 137.6808419397.

The spelling of 2609880 in words is "two million, six hundred nine thousand, eight hundred eighty".