2673738720 has 264 divisors, whose sum is σ = 9508488696. Its totient is φ = 710477568.

The previous prime is 2673738709. The next prime is 2673738721. The reversal of 2673738720 is 278373762.

2673738720 is a `hidden beast` number, since 267 + 3 + 7 + 387 + 2 + 0 = 666.

2673738720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2673738721) by changing a digit.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 9447699 + ... + 9447981.

Almost surely, 2^2673738720 is an apocalyptic number.

2673738720 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 2673738720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4754244348).

2673738720 is an abundant number, since it is smaller than the sum of its proper divisors (6834749976).

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

2673738720 is an frugal number, since it uses more digits than its factorization.

2673738720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The square root of 2673738720 is about 51708.2074723153. The cubic root of 2673738720 is about 1387.9473385940.

The spelling of 2673738720 in words is "two billion, six hundred seventy-three million, seven hundred thirty-eight thousand, seven hundred twenty".