2673544320 has 192 divisors, whose sum is σ = 9574568640. Its totient is φ = 712903680.

The previous prime is 2673544319. The next prime is 2673544339. The reversal of 2673544320 is 234453762.

2673544320 is a `hidden beast` number, since 26 + 73 + 544 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146925 + ... + 164115.

It is an arithmetic number, because the mean of its divisors is an integer number (49867545).

Almost surely, 2^2673544320 is an apocalyptic number.

2673544320 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 2673544320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4787284320).

2673544320 is an abundant number, since it is smaller than the sum of its proper divisors (6901024320).

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

2673544320 is an equidigital number, since it uses as much as digits as its factorization.

2673544320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17225 (or 17201 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The square root of 2673544320 is about 51706.3276591947. The cubic root of 2673544320 is about 1387.9136998668.

The spelling of 2673544320 in words is "two billion, six hundred seventy-three million, five hundred forty-four thousand, three hundred twenty".