2736274968 has 192 divisors, whose sum is σ = 9030528000. Its totient is φ = 731068416.

The previous prime is 2736274963. The next prime is 2736274979. The reversal of 2736274968 is 8694726372.

2736274968 is a `hidden beast` number, since 2 + 7 + 3 + 627 + 4 + 9 + 6 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2736274963) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 754696 + ... + 758312.

It is an arithmetic number, because the mean of its divisors is an integer number (47034000).

Almost surely, 2^2736274968 is an apocalyptic number.

2736274968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2736274968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4515264000).

2736274968 is an abundant number, since it is smaller than the sum of its proper divisors (6294253032).

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

2736274968 is a wasteful number, since it uses less digits than its factorization.

2736274968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3734 (or 3727 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The square root of 2736274968 is about 52309.4156725154. The cubic root of 2736274968 is about 1398.6849842440.

The spelling of 2736274968 in words is "two billion, seven hundred thirty-six million, two hundred seventy-four thousand, nine hundred sixty-eight".