2680000 has 70 divisors (see below), whose sum is σ = 6744716. Its totient is φ = 1056000.

The previous prime is 2679979. The next prime is 2680003. The reversal of 2680000 is 862.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (2680003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 39967 + ... + 40033.

2^2680000 is an apocalyptic number.

2680000 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 2680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3372358).

2680000 is an abundant number, since it is smaller than the sum of its proper divisors (4064716).

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

2680000 is an frugal number, since it uses more digits than its factorization.

2680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2680000 is about 1637.0705543745. The cubic root of 2680000 is about 138.9029911607.

Adding to 2680000 its reverse (862), we get a palindrome (2680862).

The spelling of 2680000 in words is "two million, six hundred eighty thousand".