2741038272 has 224 divisors, whose sum is σ = 9435632640. Its totient is φ = 763914240.

The previous prime is 2741038243. The next prime is 2741038291. The reversal of 2741038272 is 2728301472.

2741038272 is a `hidden beast` number, since 274 + 1 + 0 + 382 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 493173 + ... + 498699.

It is an arithmetic number, because the mean of its divisors is an integer number (42123360).

Almost surely, 2^2741038272 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 2741038272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4717816320).

2741038272 is an abundant number, since it is smaller than the sum of its proper divisors (6694594368).

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

2741038272 is a wasteful number, since it uses less digits than its factorization.

2741038272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5596 (or 5580 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 2741038272 is about 52354.9259573538. The cubic root of 2741038272 is about 1399.4961234325.

The spelling of 2741038272 in words is "two billion, seven hundred forty-one million, thirty-eight thousand, two hundred seventy-two".