2567760 has 80 divisors (see below), whose sum is σ = 8582784. Its totient is φ = 631296.

The previous prime is 2567759. The next prime is 2567767. The reversal of 2567760 is 677652.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2567767) 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, 2709 + ... + 3531.

2^2567760 is an apocalyptic number.

2567760 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 2567760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4291392).

2567760 is an abundant number, since it is smaller than the sum of its proper divisors (6015024).

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

2567760 is a wasteful number, since it uses less digits than its factorization.

2567760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The square root of 2567760 is about 1602.4231650847. The cubic root of 2567760 is about 136.9361593617.

The spelling of 2567760 in words is "two million, five hundred sixty-seven thousand, seven hundred sixty".