2586640 has 80 divisors (see below), whose sum is σ = 7142400. Its totient is φ = 852480.

The previous prime is 2586631. The next prime is 2586643. The reversal of 2586640 is 466852.

2586640 = 102² + 103² + ... + 206².

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

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2586643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17286 + ... + 17434.

It is an arithmetic number, because the mean of its divisors is an integer number (89280).

2^2586640 is an apocalyptic number.

2586640 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 2586640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3571200).

2586640 is an abundant number, since it is smaller than the sum of its proper divisors (4555760).

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

2586640 is a wasteful number, since it uses less digits than its factorization.

2586640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 2586640 is about 1608.3034539539. The cubic root of 2586640 is about 137.2709575242.

The spelling of 2586640 in words is "two million, five hundred eighty-six thousand, six hundred forty".