2792745360 has 240 divisors, whose sum is σ = 9743804928. Its totient is φ = 716083200.

The previous prime is 2792745349. The next prime is 2792745409. The reversal of 2792745360 is 635472972.

2792745360 is a `hidden beast` number, since 27 + 92 + 7 + 4 + 536 + 0 = 666.

2792745360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4709224 + ... + 4709816.

Almost surely, 2^2792745360 is an apocalyptic number.

2792745360 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 2792745360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4871902464).

2792745360 is an abundant number, since it is smaller than the sum of its proper divisors (6951059568).

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

2792745360 is a wasteful number, since it uses less digits than its factorization.

2792745360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 2792745360 is about 52846.4318568435. The cubic root of 2792745360 is about 1408.2414170450.

The spelling of 2792745360 in words is "two billion, seven hundred ninety-two million, seven hundred forty-five thousand, three hundred sixty".