2673306720 has 576 divisors, whose sum is σ = 11097051840. Its totient is φ = 599187456.

The previous prime is 2673306709. The next prime is 2673306751. The reversal of 2673306720 is 276033762.

2673306720 is a `hidden beast` number, since 267 + 330 + 67 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 15452554 + ... + 15452726.

It is an arithmetic number, because the mean of its divisors is an integer number (19265715).

Almost surely, 2^2673306720 is an apocalyptic number.

2673306720 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 2673306720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5548525920).

2673306720 is an abundant number, since it is smaller than the sum of its proper divisors (8423745120).

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

2673306720 is a wasteful number, since it uses less digits than its factorization.

2673306720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The square root of 2673306720 is about 51704.0300170112. The cubic root of 2673306720 is about 1387.8725836524.

The spelling of 2673306720 in words is "two billion, six hundred seventy-three million, three hundred six thousand, seven hundred twenty".