2541680 has 20 divisors (see below), whose sum is σ = 5909592. Its totient is φ = 1016640.

The previous prime is 2541677. The next prime is 2541683. The reversal of 2541680 is 861452.

It is an interprime number because it is at equal distance from previous prime (2541677) and next prime (2541683).

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2541683) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15806 + ... + 15965.

2^2541680 is an apocalyptic number.

2541680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2541680 is an abundant number, since it is smaller than the sum of its proper divisors (3367912).

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

2541680 is a wasteful number, since it uses less digits than its factorization.

2541680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31784 (or 31778 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 2541680 is about 1594.2647208039. The cubic root of 2541680 is about 136.4709738046.

The spelling of 2541680 in words is "two million, five hundred forty-one thousand, six hundred eighty".