2748291211200 has 336 divisors, whose sum is σ = 9363364706304. Its totient is φ = 704983142400.

The previous prime is 2748291211199. The next prime is 2748291211247. The reversal of 2748291211200 is 21121928472.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24794302 + ... + 24904898.

It is an arithmetic number, because the mean of its divisors is an integer number (27867156864).

Almost surely, 2^{2748291211200} is an apocalyptic number.

2748291211200 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 2748291211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4681682353152).

2748291211200 is an abundant number, since it is smaller than the sum of its proper divisors (6615073495104).

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

2748291211200 is a wasteful number, since it uses less digits than its factorization.

2748291211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110820 (or 110805 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The spelling of 2748291211200 in words is "two trillion, seven hundred forty-eight billion, two hundred ninety-one million, two hundred eleven thousand, two hundred".