2673234720 has 288 divisors, whose sum is σ = 9989454384. Its totient is φ = 646963200.

The previous prime is 2673234709. The next prime is 2673234721. The reversal of 2673234720 is 274323762.

2673234720 is a `hidden beast` number, since 267 + 32 + 347 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 225360144 + 2447874576 = 15012^2 + 49476^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (2673234721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1140750 + ... + 1143090.

Almost surely, 2^2673234720 is an apocalyptic number.

2673234720 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 2673234720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4994727192).

2673234720 is an abundant number, since it is smaller than the sum of its proper divisors (7316219664).

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

2673234720 is a wasteful number, since it uses less digits than its factorization.

2673234720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2436 (or 2425 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The square root of 2673234720 is about 51703.3337416457. Note that the first 3 decimals coincide. The cubic root of 2673234720 is about 1387.8601237125.

The spelling of 2673234720 in words is "two billion, six hundred seventy-three million, two hundred thirty-four thousand, seven hundred twenty".