2792742672 has 80 divisors (see below), whose sum is σ = 7405428800. Its totient is φ = 906425856.

The previous prime is 2792742551. The next prime is 2792742703. The reversal of 2792742672 is 2762472972.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 718398 + ... + 722274.

It is an arithmetic number, because the mean of its divisors is an integer number (92567860).

Almost surely, 2^2792742672 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 2792742672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3702714400).

2792742672 is an abundant number, since it is smaller than the sum of its proper divisors (4612686128).

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

2792742672 is a wasteful number, since it uses less digits than its factorization.

2792742672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4280 (or 4274 counting only the distinct ones).

The product of its digits is 1185408, while the sum is 48.

The square root of 2792742672 is about 52846.4064246567. The cubic root of 2792742672 is about 1408.2409652370.

The spelling of 2792742672 in words is "two billion, seven hundred ninety-two million, seven hundred forty-two thousand, six hundred seventy-two".