2730600 has 144 divisors (see below), whose sum is σ = 9647820. Its totient is φ = 691200.

The previous prime is 2730599. The next prime is 2730601. The reversal of 2730600 is 60372.

It is an interprime number because it is at equal distance from previous prime (2730599) and next prime (2730601).

It can be written as a sum of positive squares in 6 ways, for example, as 842724 + 1887876 = 918^2 + 1374^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (2730601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 66580 + ... + 66620.

2^2730600 is an apocalyptic number.

2730600 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 2730600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4823910).

2730600 is an abundant number, since it is smaller than the sum of its proper divisors (6917220).

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

2730600 is a wasteful number, since it uses less digits than its factorization.

2730600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 2730600 is about 1652.4527224704. The cubic root of 2730600 is about 139.7717368740.

Adding to 2730600 its reverse (60372), we get a palindrome (2790972).

The spelling of 2730600 in words is "two million, seven hundred thirty thousand, six hundred".