2815049952 has 288 divisors, whose sum is σ = 9733258080. Its totient is φ = 759951360.

The previous prime is 2815049933. The next prime is 2815049977. The reversal of 2815049952 is 2599405182.

It is a happy number.

2815049952 is a `hidden beast` number, since 2 + 8 + 1 + 504 + 99 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 2815049898 and 2815049907.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1193158 + ... + 1195514.

It is an arithmetic number, because the mean of its divisors is an integer number (33796035).

Almost surely, 2^2815049952 is an apocalyptic number.

2815049952 is a gapful number since it is divisible by the number (22) 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 2815049952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4866629040).

2815049952 is an abundant number, since it is smaller than the sum of its proper divisors (6918208128).

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

2815049952 is a wasteful number, since it uses less digits than its factorization.

2815049952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2426 (or 2415 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 2815049952 is about 53057.0443202408. The cubic root of 2815049952 is about 1411.9805094320.

The spelling of 2815049952 in words is "two billion, eight hundred fifteen million, forty-nine thousand, nine hundred fifty-two".