2754736128 has 390 divisors, whose sum is σ = 9062718984. Its totient is φ = 832094208.

The previous prime is 2754736121. The next prime is 2754736157. The reversal of 2754736128 is 8216374572.

2754736128 is a `hidden beast` number, since 27 + 5 + 4 + 7 + 3 + 612 + 8 = 666.

It is a super-2 number, since 2×2754736128² = 15177142269816864768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2754736121) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 119771125 + ... + 119771147.

Almost surely, 2^2754736128 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 2754736128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4531359492).

2754736128 is an abundant number, since it is smaller than the sum of its proper divisors (6307982856).

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

2754736128 is an equidigital number, since it uses as much as digits as its factorization.

2754736128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 47 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 2754736128 is about 52485.5801911344. The cubic root of 2754736128 is about 1401.8234959794.

The spelling of 2754736128 in words is "two billion, seven hundred fifty-four million, seven hundred thirty-six thousand, one hundred twenty-eight".