2673032736 has 216 divisors, whose sum is σ = 8054275824. Its totient is φ = 769789440.

The previous prime is 2673032711. The next prime is 2673032743. The reversal of 2673032736 is 6372303762.

2673032736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2673032694 and 2673032703.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 62163531 + ... + 62163573.

It is an arithmetic number, because the mean of its divisors is an integer number (37288314).

Almost surely, 2^2673032736 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 2673032736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4027137912).

2673032736 is an abundant number, since it is smaller than the sum of its proper divisors (5381243088).

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

2673032736 is a wasteful number, since it uses less digits than its factorization.

2673032736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 39.

The square root of 2673032736 is about 51701.3804071033. The cubic root of 2673032736 is about 1387.8251682335.

The spelling of 2673032736 in words is "two billion, six hundred seventy-three million, thirty-two thousand, seven hundred thirty-six".