2792317440 has 160 divisors (see below), whose sum is σ = 9738501696. Its totient is φ = 676904960.

The previous prime is 2792317421. The next prime is 2792317447. The reversal of 2792317440 is 447132972.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (2792317447) 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 15 ways as a sum of consecutive naturals, for example, 67954 + ... + 101006.

Almost surely, 2^2792317440 is an apocalyptic number.

2792317440 is a gapful number since it is divisible by the number (20) 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 2792317440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4869250848).

2792317440 is an abundant number, since it is smaller than the sum of its proper divisors (6946184256).

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

2792317440 is a wasteful number, since it uses less digits than its factorization.

2792317440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33090 (or 33074 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 2792317440 is about 52842.3829894149. The cubic root of 2792317440 is about 1408.1694871730.

The spelling of 2792317440 in words is "two billion, seven hundred ninety-two million, three hundred seventeen thousand, four hundred forty".