2594640 has 80 divisors (see below), whose sum is σ = 8481600. Its totient is φ = 654336.

The previous prime is 2594611. The next prime is 2594671. The reversal of 2594640 is 464952.

2594640 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 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 = 2594598 and 2594607.

It is a congruent number.

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, 4276 + ... + 4844.

It is an arithmetic number, because the mean of its divisors is an integer number (106020).

2^2594640 is an apocalyptic number.

2594640 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 2594640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4240800).

2594640 is an abundant number, since it is smaller than the sum of its proper divisors (5886960).

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

2594640 is a wasteful number, since it uses less digits than its factorization.

2594640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 2594640 is about 1610.7886267292. The cubic root of 2594640 is about 137.4123297881.

The spelling of 2594640 in words is "two million, five hundred ninety-four thousand, six hundred forty".