2736340256 has 48 divisors (see below), whose sum is σ = 5817700224. Its totient is φ = 1259414784.

The previous prime is 2736340241. The next prime is 2736340261. The reversal of 2736340256 is 6520436372.

It is a happy number.

It is a super-2 number, since 2×2736340256² = 14975115993212291072, which contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 143711 + ... + 161633.

It is an arithmetic number, because the mean of its divisors is an integer number (121202088).

Almost surely, 2^2736340256 is an apocalyptic number.

2736340256 is a gapful number since it is divisible by the number (26) 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 2736340256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2908850112).

2736340256 is an abundant number, since it is smaller than the sum of its proper divisors (3081359968).

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

2736340256 is a wasteful number, since it uses less digits than its factorization.

2736340256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18313 (or 18305 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 38.

The square root of 2736340256 is about 52310.0397247029. The cubic root of 2736340256 is about 1398.6961084451.

The spelling of 2736340256 in words is "two billion, seven hundred thirty-six million, three hundred forty thousand, two hundred fifty-six".