2792523968 has 56 divisors (see below), whose sum is σ = 5974720080. Its totient is φ = 1287336960.

The previous prime is 2792523953. The next prime is 2792523973. The reversal of 2792523968 is 8693252972.

It is a super-2 number, since 2×2792523968² = 15596380223708930048, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1021163 + ... + 1023893.

It is an arithmetic number, because the mean of its divisors is an integer number (106691430).

Almost surely, 2^2792523968 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 2792523968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2987360040).

2792523968 is an abundant number, since it is smaller than the sum of its proper divisors (3182196112).

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

2792523968 is a wasteful number, since it uses less digits than its factorization.

2792523968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3985 (or 3975 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 53.

The square root of 2792523968 is about 52844.3371422142. The cubic root of 2792523968 is about 1408.2042037677.

The spelling of 2792523968 in words is "two billion, seven hundred ninety-two million, five hundred twenty-three thousand, nine hundred sixty-eight".