2679640 has 32 divisors (see below), whose sum is σ = 6226560. Its totient is φ = 1036800.

The previous prime is 2679619. The next prime is 2679641. The reversal of 2679640 is 469762.

It is a junction number, because it is equal to n+sod(n) for n = 2679596 and 2679605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2679641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 160 + ... + 2320.

It is an arithmetic number, because the mean of its divisors is an integer number (194580).

2^2679640 is an apocalyptic number.

2679640 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 2679640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3113280).

2679640 is an abundant number, since it is smaller than the sum of its proper divisors (3546920).

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

2679640 is a wasteful number, since it uses less digits than its factorization.

2679640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2203 (or 2199 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 2679640 is about 1636.9605981819. The cubic root of 2679640 is about 138.8967713452.

The spelling of 2679640 in words is "two million, six hundred seventy-nine thousand, six hundred forty".