2002581 has 36 divisors (see below), whose sum is σ = 3556800. Its totient is φ = 1079568.

The previous prime is 2002579. The next prime is 2002603. The reversal of 2002581 is 1852002.

It is not a de Polignac number, because 2002581 - 2¹ = 2002579 is a prime.

It is a super-2 number, since 2×2002581² = 8020661323122, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002531) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8260 + ... + 8498.

It is an arithmetic number, because the mean of its divisors is an integer number (98800).

2^2002581 is an apocalyptic number.

2002581 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2002581 is a deficient number, since it is larger than the sum of its proper divisors (1554219).

2002581 is a wasteful number, since it uses less digits than its factorization.

2002581 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 2002581 is about 1415.1257894618. The cubic root of 2002581 is about 126.0462792960.

Adding to 2002581 its reverse (1852002), we get a palindrome (3854583).

The spelling of 2002581 in words is "two million, two thousand, five hundred eighty-one".