2744256000000 has 364 divisors, whose sum is σ = 9146926199096. Its totient is φ = 731750400000.

The previous prime is 2744255999987. The next prime is 2744256000001. The reversal of 2744256000000 is 6524472.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2744256000001) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 191992854 + ... + 192007146.

Almost surely, 2^{2744256000000} is an apocalyptic number.

2744256000000 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 2744256000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4573463099548).

2744256000000 is an abundant number, since it is smaller than the sum of its proper divisors (6402670199096).

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

2744256000000 is an frugal number, since it uses more digits than its factorization.

2744256000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14350 (or 14303 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The spelling of 2744256000000 in words is "two trillion, seven hundred forty-four billion, two hundred fifty-six million", and thus it is an aban number.