2754295936 has 256 divisors, whose sum is σ = 7238246400. Its totient is φ = 1015234560.

The previous prime is 2754295933. The next prime is 2754295937. The reversal of 2754295936 is 6395924572.

It is a super-2 number, since 2×2754295936² = 15172292206132232192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2754295933) 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 31 ways as a sum of consecutive naturals, for example, 8971495 + ... + 8971801.

It is an arithmetic number, because the mean of its divisors is an integer number (28274400).

Almost surely, 2^2754295936 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 2754295936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3619123200).

2754295936 is an abundant number, since it is smaller than the sum of its proper divisors (4483950464).

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

2754295936 is a wasteful number, since it uses less digits than its factorization.

2754295936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 383 counting only the distinct ones).

The product of its digits is 4082400, while the sum is 52.

The square root of 2754295936 is about 52481.3865670487. The cubic root of 2754295936 is about 1401.7488240531.

The spelling of 2754295936 in words is "two billion, seven hundred fifty-four million, two hundred ninety-five thousand, nine hundred thirty-six".