2052823968 has 288 divisors, whose sum is σ = 6780533760. Its totient is φ = 583925760.

The previous prime is 2052823963. The next prime is 2052823987. The reversal of 2052823968 is 8693282502.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (2052823963) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2669088 + ... + 2669856.

It is an arithmetic number, because the mean of its divisors is an integer number (23543520).

Almost surely, 2^2052823968 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 2052823968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3390266880).

2052823968 is an abundant number, since it is smaller than the sum of its proper divisors (4727709792).

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

2052823968 is a wasteful number, since it uses less digits than its factorization.

2052823968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 2052823968 is about 45308.1004677971. The cubic root of 2052823968 is about 1270.9171394108.

The spelling of 2052823968 in words is "two billion, fifty-two million, eight hundred twenty-three thousand, nine hundred sixty-eight".