2673721344 has 240 divisors, whose sum is σ = 8598060800. Its totient is φ = 721944576.

The previous prime is 2673721339. The next prime is 2673721373. The reversal of 2673721344 is 4431273762.

It is a happy number.

It is a super-2 number, since 2×2673721344² = 14297571650722332672, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6537012 + ... + 6537420.

Almost surely, 2^2673721344 is an apocalyptic number.

2673721344 is a gapful number since it is divisible by the number (24) 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 2673721344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4299030400).

2673721344 is an abundant number, since it is smaller than the sum of its proper divisors (5924339456).

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

2673721344 is an equidigital number, since it uses as much as digits as its factorization.

2673721344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 440 counting only the distinct ones).

The product of its digits is 169344, while the sum is 39.

The square root of 2673721344 is about 51708.0394522941. The cubic root of 2673721344 is about 1387.9443319395.

The spelling of 2673721344 in words is "two billion, six hundred seventy-three million, seven hundred twenty-one thousand, three hundred forty-four".