2679760 has 80 divisors (see below), whose sum is σ = 6874560. Its totient is φ = 967680.

The previous prime is 2679749. The next prime is 2679763. The reversal of 2679760 is 679762.

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

It is a super-2 number, since 2×2679760² = 14362227315200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2679763) 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, 62299 + ... + 62341.

It is an arithmetic number, because the mean of its divisors is an integer number (85932).

2^2679760 is an apocalyptic number.

2679760 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 2679760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3437280).

2679760 is an abundant number, since it is smaller than the sum of its proper divisors (4194800).

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

2679760 is a wasteful number, since it uses less digits than its factorization.

2679760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 37.

The square root of 2679760 is about 1636.9972510667. The cubic root of 2679760 is about 138.8988446789.

The spelling of 2679760 in words is "two million, six hundred seventy-nine thousand, seven hundred sixty".