2792451168 has 144 divisors (see below), whose sum is σ = 8692787376. Its totient is φ = 845061120.

The previous prime is 2792451149. The next prime is 2792451173. The reversal of 2792451168 is 8611542972.

2792451168 is a `hidden beast` number, since 2 + 79 + 2 + 4 + 511 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 222271 + ... + 234497.

It is an arithmetic number, because the mean of its divisors is an integer number (60366579).

Almost surely, 2^2792451168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2792451168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4346393688).

2792451168 is an abundant number, since it is smaller than the sum of its proper divisors (5900336208).

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

2792451168 is a wasteful number, since it uses less digits than its factorization.

2792451168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12317 (or 12306 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 2792451168 is about 52843.6483221967. The cubic root of 2792451168 is about 1408.1919665517.

The spelling of 2792451168 in words is "two billion, seven hundred ninety-two million, four hundred fifty-one thousand, one hundred sixty-eight".