2792641536 has 352 divisors, whose sum is σ = 8862691200. Its totient is φ = 877879296.

The previous prime is 2792641529. The next prime is 2792641559. The reversal of 2792641536 is 6351462972.

2792641536 is a `hidden beast` number, since 2 + 79 + 2 + 6 + 41 + 536 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2792641491 and 2792641500.

It is a congruent number.

It is an unprimeable number.

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, 64945131 + ... + 64945173.

It is an arithmetic number, because the mean of its divisors is an integer number (25178100).

Almost surely, 2^2792641536 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 2792641536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4431345600).

2792641536 is an abundant number, since it is smaller than the sum of its proper divisors (6070049664).

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

2792641536 is an frugal number, since it uses more digits than its factorization.

2792641536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 77 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 2792641536 is about 52845.4495297372. The cubic root of 2792641536 is about 1408.2239657501.

The spelling of 2792641536 in words is "two billion, seven hundred ninety-two million, six hundred forty-one thousand, five hundred thirty-six".