2558640 has 80 divisors (see below), whose sum is σ = 9070848. Its totient is φ = 584448.

The previous prime is 2558639. The next prime is 2558671. The reversal of 2558640 is 468552.

2558640 is nontrivially palindromic in base 13.

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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 2558598 and 2558607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 919 + ... + 2441.

2^2558640 is an apocalyptic number.

2558640 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 2558640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4535424).

2558640 is an abundant number, since it is smaller than the sum of its proper divisors (6512208).

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

2558640 is a wasteful number, since it uses less digits than its factorization.

2558640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1546 (or 1540 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 2558640 is about 1599.5749435397. The cubic root of 2558640 is about 136.7738467838.

The spelling of 2558640 in words is "two million, five hundred fifty-eight thousand, six hundred forty".