2687140 has 48 divisors (see below), whose sum is σ = 6032880. Its totient is φ = 1003520.

The previous prime is 2687129. The next prime is 2687141. The reversal of 2687140 is 417862.

It can be written as a sum of positive squares in 8 ways, for example, as 1028196 + 1658944 = 1014^2 + 1288^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2687099 and 2687108.

It is not an unprimeable number, because it can be changed into a prime (2687141) 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, 23724 + ... + 23836.

It is an arithmetic number, because the mean of its divisors is an integer number (125685).

2^2687140 is an apocalyptic number.

2687140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2687140 is the 820-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2687140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3016440).

2687140 is an abundant number, since it is smaller than the sum of its proper divisors (3345740).

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

2687140 is a wasteful number, since it uses less digits than its factorization.

2687140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 2687140 is about 1639.2498284276. The cubic root of 2687140 is about 139.0262359255.

The spelling of 2687140 in words is "two million, six hundred eighty-seven thousand, one hundred forty".