2736630 has 48 divisors (see below), whose sum is σ = 7665840. Its totient is φ = 673344.

The previous prime is 2736623. The next prime is 2736637. The reversal of 2736630 is 366372.

2736630 is a `hidden beast` number, since 27 + 3 + 6 + 630 = 666.

2736630 is a nontrivial binomial coefficient, being equal to C(2340, 2).

It is an interprime number because it is at equal distance from previous prime (2736623) and next prime (2736637).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2736594 and 2736603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2736637) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1 + ... + 2339.

It is an arithmetic number, because the mean of its divisors is an integer number (159705).

2^2736630 is an apocalyptic number.

2736630 is the 2339-th triangular number and also the 1170-th hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2736630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3832920).

2736630 is an abundant number, since it is smaller than the sum of its proper divisors (4929210).

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

2736630 is a wasteful number, since it uses less digits than its factorization.

2736630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2365 (or 2362 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 2736630 is about 1654.2762768051. The cubic root of 2736630 is about 139.8745474808.

It can be divided in two parts, 273 and 6630, that added together give a triangular number (6903 = T₁₁₇).

The spelling of 2736630 in words is "two million, seven hundred thirty-six thousand, six hundred thirty".