2791564160 has 256 divisors, whose sum is σ = 8550766080. Its totient is φ = 846028800.

The previous prime is 2791564147. The next prime is 2791564187. The reversal of 2791564160 is 614651972.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1822595 + ... + 1824125.

It is an arithmetic number, because the mean of its divisors is an integer number (33401430).

Almost surely, 2^2791564160 is an apocalyptic number.

2791564160 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 2791564160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4275383040).

2791564160 is an abundant number, since it is smaller than the sum of its proper divisors (5759201920).

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

2791564160 is a wasteful number, since it uses less digits than its factorization.

2791564160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1605 (or 1593 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 41.

The square root of 2791564160 is about 52835.2548967070. The cubic root of 2791564160 is about 1408.0428490748.

The spelling of 2791564160 in words is "two billion, seven hundred ninety-one million, five hundred sixty-four thousand, one hundred sixty".