2580501 has 16 divisors (see below), whose sum is σ = 4290048. Its totient is φ = 1340400.

The previous prime is 2580497. The next prime is 2580509. The reversal of 2580501 is 1050852.

It is not a de Polignac number, because 2580501 - 2² = 2580497 is a prime.

It is a super-2 number, since 2×2580501² = 13317970822002, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

2580501 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2580509) 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, 5355 + ... + 5816.

It is an arithmetic number, because the mean of its divisors is an integer number (268128).

2^2580501 is an apocalyptic number.

2580501 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2580501 is a deficient number, since it is larger than the sum of its proper divisors (1709547).

2580501 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 11 representation: 2580501 = (1502850)₁₁.

2580501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11192.

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 2580501 is about 1606.3937873386. The cubic root of 2580501 is about 137.1622741915.

It can be divided in two parts, 2580 and 501, that added together give a triangular number (3081 = T₇₈).

The spelling of 2580501 in words is "two million, five hundred eighty thousand, five hundred one".