2792535552 has 240 divisors, whose sum is σ = 8441566848. Its totient is φ = 887685120.

The previous prime is 2792535539. The next prime is 2792535553. The reversal of 2792535552 is 2555352972.

2792535552 is a `hidden beast` number, since 2 + 7 + 92 + 5 + 3 + 5 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2792535498 and 2792535507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2792535553) 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 23 ways as a sum of consecutive naturals, for example, 16141738 + ... + 16141910.

Almost surely, 2^2792535552 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 2792535552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4220783424).

2792535552 is an abundant number, since it is smaller than the sum of its proper divisors (5649031296).

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

2792535552 is a wasteful number, since it uses less digits than its factorization.

2792535552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 322 counting only the distinct ones).

The product of its digits is 945000, while the sum is 45.

The square root of 2792535552 is about 52844.4467470329. The cubic root of 2792535552 is about 1408.2061509446.

The spelling of 2792535552 in words is "two billion, seven hundred ninety-two million, five hundred thirty-five thousand, five hundred fifty-two".