2749860689472 has 168 divisors, whose sum is σ = 8503987772280. Its totient is φ = 844545761280.

The previous prime is 2749860689311. The next prime is 2749860689489.

2749860689472 is a `hidden beast` number, since 2 + 7 + 4 + 9 + 8 + 606 + 8 + 9 + 4 + 7 + 2 = 666.

2749860689472 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 235403513856 + 2514457175616 = 485184^2 + 1585704^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 2749860689472.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3711604 + ... + 4390412.

It is an arithmetic number, because the mean of its divisors is an integer number (50618974835).

Almost surely, 2^{2749860689472} 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 2749860689472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4251993886140).

2749860689472 is an abundant number, since it is smaller than the sum of its proper divisors (5754127082808).

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

2749860689472 is a wasteful number, since it uses less digits than its factorization.

2749860689472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679381 (or 679368 counting only the distinct ones).

The product of its (nonzero) digits is 585252864, while the sum is 72.

The spelling of 2749860689472 in words is "two trillion, seven hundred forty-nine billion, eight hundred sixty million, six hundred eighty-nine thousand, four hundred seventy-two".