2749065910272 has 960 divisors, whose sum is σ = 9688552473600. Its totient is φ = 767517327360.

The previous prime is 2749065910247. The next prime is 2749065910273. The reversal of 2749065910272 is 2720195609472.

2749065910272 is a `hidden beast` number, since 2 + 7 + 49 + 0 + 6 + 591 + 0 + 2 + 7 + 2 = 666.

It is a super-2 number, since 2×2749065910272² (a number of 26 digits) contains 22 as substring.

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 (2749065910273) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1282810833 + ... + 1282812975.

It is an arithmetic number, because the mean of its divisors is an integer number (10092242160).

Almost surely, 2^{2749065910272} is an apocalyptic number.

2749065910272 is a gapful number since it is divisible by the number (22) 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 2749065910272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4844276236800).

2749065910272 is an abundant number, since it is smaller than the sum of its proper divisors (6939486563328).

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

2749065910272 is a wasteful number, since it uses less digits than its factorization.

2749065910272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2244 (or 2215 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 2749065910272 in words is "two trillion, seven hundred forty-nine billion, sixty-five million, nine hundred ten thousand, two hundred seventy-two".