2730624 has 64 divisors (see below), whose sum is σ = 7825440. Its totient is φ = 838656.

The previous prime is 2730601. The next prime is 2730643. The reversal of 2730624 is 4260372.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 2⁵ + 7³ + 3² + 0 + 6⁸ + 2¹¹ + 4¹⁰ .

It is a zygodrome in base 5.

It is a junction number, because it is equal to n+sod(n) for n = 2730594 and 2730603.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4719 + ... + 5265.

2^2730624 is an apocalyptic number.

2730624 is a gapful number since it is divisible by the number (24) 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 2730624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3912720).

2730624 is an abundant number, since it is smaller than the sum of its proper divisors (5094816).

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

2730624 is a wasteful number, since it uses less digits than its factorization.

2730624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 2730624 is about 1652.4599843869. The cubic root of 2730624 is about 139.7721463703.

Adding to 2730624 its reverse (4260372), we get a palindrome (6990996).

The spelling of 2730624 in words is "two million, seven hundred thirty thousand, six hundred twenty-four".