2749378609152 has 720 divisors, whose sum is σ = 9618084403200. Its totient is φ = 768456916992.

The previous prime is 2749378609123. The next prime is 2749378609207. The reversal of 2749378609152 is 2519068739472.

2749378609152 is a `hidden beast` number, since 2 + 7 + 4 + 9 + 3 + 7 + 8 + 609 + 15 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 2749378609152.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1309850599 + ... + 1309852697.

It is an arithmetic number, because the mean of its divisors is an integer number (13358450560).

It is a 1-persistent number, because it is pandigital, but 2⋅2749378609152 = 5498757218304 is not.

Almost surely, 2^{2749378609152} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2749378609152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4809042201600).

2749378609152 is an abundant number, since it is smaller than the sum of its proper divisors (6868705794048).

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

2749378609152 is an frugal number, since it uses more digits than its factorization.

2749378609152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2196 (or 2158 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 2749378609152 in words is "two trillion, seven hundred forty-nine billion, three hundred seventy-eight million, six hundred nine thousand, one hundred fifty-two".