2736147456 has 396 divisors, whose sum is σ = 9428596632. Its totient is φ = 761757696.

The previous prime is 2736147409. The next prime is 2736147457. The reversal of 2736147456 is 6547416372.

2736147456 is a `hidden beast` number, since 2 + 73 + 61 + 474 + 56 = 666.

Its product of digits (846720) is a multiple of the sum of its prime divisors (168).

It is not an unprimeable number, because it can be changed into a prime (2736147457) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 32965591 + ... + 32965673.

Almost surely, 2^2736147456 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 2736147456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4714298316).

2736147456 is an abundant number, since it is smaller than the sum of its proper divisors (6692449176).

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

2736147456 is a wasteful number, since it uses less digits than its factorization.

2736147456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 168 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The square root of 2736147456 is about 52308.1968337659. The cubic root of 2736147456 is about 1398.6632573961.

The spelling of 2736147456 in words is "two billion, seven hundred thirty-six million, one hundred forty-seven thousand, four hundred fifty-six".