2687740 has 48 divisors (see below), whose sum is σ = 6491520. Its totient is φ = 924480.

The previous prime is 2687723. The next prime is 2687747. The reversal of 2687740 is 477862.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2687696 and 2687705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2687747) 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, 3859 + ... + 4501.

It is an arithmetic number, because the mean of its divisors is an integer number (135240).

2^2687740 is an apocalyptic number.

2687740 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 2687740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3245760).

2687740 is an abundant number, since it is smaller than the sum of its proper divisors (3803780).

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

2687740 is a wasteful number, since it uses less digits than its factorization.

2687740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 34.

The square root of 2687740 is about 1639.4328287551. The cubic root of 2687740 is about 139.0365826800.

It can be divided in two parts, 268 and 7740, that added together give a palindrome (8008).

The spelling of 2687740 in words is "two million, six hundred eighty-seven thousand, seven hundred forty".