2744320000 has 170 divisors, whose sum is σ = 6960918668. Its totient is φ = 1081344000.

The previous prime is 2744319983. The next prime is 2744320039. The reversal of 2744320000 is 234472.

It is a super-4 number, since 4×2744320000⁴ (a number of 39 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 40959967 + ... + 40960033.

Almost surely, 2^2744320000 is an apocalyptic number.

2744320000 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 2744320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3480459334).

2744320000 is an abundant number, since it is smaller than the sum of its proper divisors (4216598668).

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

2744320000 is an frugal number, since it uses more digits than its factorization.

2744320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 22.

The square root of 2744320000 is about 52386.2577399837. The cubic root of 2744320000 is about 1400.0544196533.

Adding to 2744320000 its reverse (234472), we get a palindrome (2744554472).

The spelling of 2744320000 in words is "two billion, seven hundred forty-four million, three hundred twenty thousand".