2710828778112 has 1728 divisors, whose sum is σ = 10723906720800. Its totient is φ = 675528118272.

The previous prime is 2710828778083. The next prime is 2710828778113. The reversal of 2710828778112 is 2118778280172.

2710828778112 is a `hidden beast` number, since 271 + 0 + 8 + 287 + 7 + 81 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is not an unprimeable number, because it can be changed into a prime (2710828778113) 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 215 ways as a sum of consecutive naturals, for example, 7152582339 + ... + 7152582717.

Almost surely, 2^{2710828778112} 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 2710828778112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5361953360400).

2710828778112 is an abundant number, since it is smaller than the sum of its proper divisors (8013077942688).

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

2710828778112 is a wasteful number, since it uses less digits than its factorization.

2710828778112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 1404928, while the sum is 54.

The spelling of 2710828778112 in words is "two trillion, seven hundred ten billion, eight hundred twenty-eight million, seven hundred seventy-eight thousand, one hundred twelve".