2744904672000 has 1728 divisors, whose sum is σ = 10808112107520. Its totient is φ = 692748288000.

The previous prime is 2744904671963. The next prime is 2744904672001. The reversal of 2744904672000 is 2764094472.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is not an unprimeable number, because it can be changed into a prime (2744904672001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14222303904 + ... + 14222304096.

Almost surely, 2^{2744904672000} is an apocalyptic number.

2744904672000 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 2744904672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5404056053760).

2744904672000 is an abundant number, since it is smaller than the sum of its proper divisors (8063207435520).

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

2744904672000 is an equidigital number, since it uses as much as digits as its factorization.

2744904672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 2744904672000 in words is "two trillion, seven hundred forty-four billion, nine hundred four million, six hundred seventy-two thousand".