2792047104 has 640 divisors, whose sum is σ = 10716456960. Its totient is φ = 696729600.

The previous prime is 2792047087. The next prime is 2792047129. The reversal of 2792047104 is 4017402972.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 63 ways as a sum of consecutive naturals, for example, 45771234 + ... + 45771294.

It is an arithmetic number, because the mean of its divisors is an integer number (16744464).

Almost surely, 2^2792047104 is an apocalyptic number.

2792047104 is a gapful number since it is divisible by the number (24) 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 2792047104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5358228480).

2792047104 is an abundant number, since it is smaller than the sum of its proper divisors (7924409856).

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

2792047104 is a wasteful number, since it uses less digits than its factorization.

2792047104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 2792047104 is about 52839.8249807851. The cubic root of 2792047104 is about 1408.1240421021.

The spelling of 2792047104 in words is "two billion, seven hundred ninety-two million, forty-seven thousand, one hundred four".