2948819738112 has 800 divisors, whose sum is σ = 9481183641600. Its totient is φ = 909733773312.

The previous prime is 2948819738089. The next prime is 2948819738119. The reversal of 2948819738112 is 2118379188492.

2948819738112 is a `hidden beast` number, since 2 + 9 + 488 + 1 + 9 + 7 + 38 + 112 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2948819738112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2948819738119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7905682758 + ... + 7905683130.

It is an arithmetic number, because the mean of its divisors is an integer number (11851479552).

Almost surely, 2^{2948819738112} 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 2948819738112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4740591820800).

2948819738112 is an abundant number, since it is smaller than the sum of its proper divisors (6532363903488).

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

2948819738112 is a wasteful number, since it uses less digits than its factorization.

2948819738112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 603 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 63.

The spelling of 2948819738112 in words is "two trillion, nine hundred forty-eight billion, eight hundred nineteen million, seven hundred thirty-eight thousand, one hundred twelve".