2673338304 has 224 divisors, whose sum is σ = 9164807680. Its totient is φ = 667865088.

The previous prime is 2673338303. The next prime is 2673338309. The reversal of 2673338304 is 4038333762.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2673338303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 327942 + ... + 335994.

It is an arithmetic number, because the mean of its divisors is an integer number (40914320).

Almost surely, 2^2673338304 is an apocalyptic number.

2673338304 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 2673338304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4582403840).

2673338304 is an abundant number, since it is smaller than the sum of its proper divisors (6491469376).

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

2673338304 is a wasteful number, since it uses less digits than its factorization.

2673338304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8107 (or 8097 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 39.

The square root of 2673338304 is about 51704.3354468462. The cubic root of 2673338304 is about 1387.8780493421.

The spelling of 2673338304 in words is "two billion, six hundred seventy-three million, three hundred thirty-eight thousand, three hundred four".