2756138112 has 384 divisors, whose sum is σ = 9944363520. Its totient is φ = 713318400.

The previous prime is 2756138101. The next prime is 2756138113. The reversal of 2756138112 is 2118316572.

2756138112 is a `hidden beast` number, since 2 + 7 + 561 + 3 + 81 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×2756138112³ (a number of 29 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2756138113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6394537 + ... + 6394967.

It is an arithmetic number, because the mean of its divisors is an integer number (25896780).

Almost surely, 2^2756138112 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 2756138112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4972181760).

2756138112 is an abundant number, since it is smaller than the sum of its proper divisors (7188225408).

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

2756138112 is a wasteful number, since it uses less digits than its factorization.

2756138112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 517 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 2756138112 is about 52498.9343891855. The cubic root of 2756138112 is about 1402.0612683957.

The spelling of 2756138112 in words is "two billion, seven hundred fifty-six million, one hundred thirty-eight thousand, one hundred twelve".