2748974371200 has 480 divisors, whose sum is σ = 10154662638120. Its totient is φ = 732312576000.

The previous prime is 2748974371151. The next prime is 2748974371207. The reversal of 2748974371200 is 21734798472.

2748974371200 is a `hidden beast` number, since 2 + 7 + 4 + 89 + 7 + 437 + 120 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2748974371207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 282782340 + ... + 282792060.

Almost surely, 2^{2748974371200} is an apocalyptic number.

2748974371200 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 2748974371200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5077331319060).

2748974371200 is an abundant number, since it is smaller than the sum of its proper divisors (7405688266920).

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

2748974371200 is a wasteful number, since it uses less digits than its factorization.

2748974371200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10848 (or 10822 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 2748974371200 in words is "two trillion, seven hundred forty-eight billion, nine hundred seventy-four million, three hundred seventy-one thousand, two hundred".