2755701430272 has 1152 divisors, whose sum is σ = 9950301204480. Its totient is φ = 744943288320.

The previous prime is 2755701430267. The next prime is 2755701430301. The reversal of 2755701430272 is 2720341075572.

2755701430272 is a `hidden beast` number, since 2 + 7 + 5 + 570 + 1 + 4 + 3 + 0 + 2 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13060196247 + ... + 13060196457.

It is an arithmetic number, because the mean of its divisors is an integer number (8637414240).

Almost surely, 2^{2755701430272} 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 2755701430272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4975150602240).

2755701430272 is an abundant number, since it is smaller than the sum of its proper divisors (7194599774208).

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

2755701430272 is a wasteful number, since it uses less digits than its factorization.

2755701430272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 823200, while the sum is 45.

The spelling of 2755701430272 in words is "two trillion, seven hundred fifty-five billion, seven hundred one million, four hundred thirty thousand, two hundred seventy-two".