2792934144 has 648 divisors, whose sum is σ = 11068726032. Its totient is φ = 665763840.

The previous prime is 2792934143. The next prime is 2792934149. The reversal of 2792934144 is 4414392972.

It is a super-2 number, since 2×2792934144² = 15600962265442025472, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2792934144.

It is not an unprimeable number, because it can be changed into a prime (2792934143) 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 71 ways as a sum of consecutive naturals, for example, 16144042 + ... + 16144214.

Almost surely, 2^2792934144 is an apocalyptic number.

2792934144 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 2792934144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5534363016).

2792934144 is an abundant number, since it is smaller than the sum of its proper divisors (8275791888).

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

2792934144 is a wasteful number, since it uses less digits than its factorization.

2792934144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 209 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 2792934144 is about 52848.2179832017. The cubic root of 2792934144 is about 1408.2731477643.

The spelling of 2792934144 in words is "two billion, seven hundred ninety-two million, nine hundred thirty-four thousand, one hundred forty-four".