2797524864 has 192 divisors, whose sum is σ = 8510851440. Its totient is φ = 914374656.

The previous prime is 2797524859. The next prime is 2797524871. The reversal of 2797524864 is 4684257972.

2797524864 is a `hidden beast` number, since 27 + 97 + 52 + 486 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×2797524864² = 15652290729396436992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2797524864.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1647664 + ... + 1649360.

Almost surely, 2^2797524864 is an apocalyptic number.

2797524864 is a gapful number since it is divisible by the number (24) 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 2797524864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4255425720).

2797524864 is an abundant number, since it is smaller than the sum of its proper divisors (5713326576).

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

2797524864 is an equidigital number, since it uses as much as digits as its factorization.

2797524864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1779 (or 1755 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The square root of 2797524864 is about 52891.6332135811. The cubic root of 2797524864 is about 1409.0443139114.

The spelling of 2797524864 in words is "two billion, seven hundred ninety-seven million, five hundred twenty-four thousand, eight hundred sixty-four".