2590657 has 8 divisors (see below), whose sum is σ = 2701800. Its totient is φ = 2481024.

The previous prime is 2590649. The next prime is 2590691. The reversal of 2590657 is 7560952.

2590657 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 33856 + 2556801 = 184^2 + 1599^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2590657 - 2³ = 2590649 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2590157) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4269 + ... + 4837.

It is an arithmetic number, because the mean of its divisors is an integer number (337725).

2^2590657 is an apocalyptic number.

It is an amenable number.

2590657 is a deficient number, since it is larger than the sum of its proper divisors (111143).

2590657 is a wasteful number, since it uses less digits than its factorization.

2590657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755.

The product of its (nonzero) digits is 18900, while the sum is 34.

The square root of 2590657 is about 1609.5518009682. The cubic root of 2590657 is about 137.3419804517.

The spelling of 2590657 in words is "two million, five hundred ninety thousand, six hundred fifty-seven".