2630712672 has 144 divisors (see below), whose sum is σ = 8565691680. Its totient is φ = 750237696.

The previous prime is 2630712649. The next prime is 2630712673. The reversal of 2630712672 is 2762170362.

It is a happy number.

2630712672 is a `hidden beast` number, since 2 + 630 + 7 + 12 + 6 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2630712673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1630138 + ... + 1631750.

It is an arithmetic number, because the mean of its divisors is an integer number (59483970).

Almost surely, 2^2630712672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2630712672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4282845840).

2630712672 is an abundant number, since it is smaller than the sum of its proper divisors (5934979008).

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

2630712672 is a wasteful number, since it uses less digits than its factorization.

2630712672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2445 (or 2434 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 2630712672 is about 51290.4735014213. The cubic root of 2630712672 is about 1380.4620506983.

The spelling of 2630712672 in words is "two billion, six hundred thirty million, seven hundred twelve thousand, six hundred seventy-two".