2052959564448 has 480 divisors, whose sum is σ = 6864820079040. Its totient is φ = 596644392960.

The previous prime is 2052959564441. The next prime is 2052959564531. The reversal of 2052959564448 is 8444659592502.

2052959564448 is a `hidden beast` number, since 2 + 0 + 5 + 29 + 5 + 9 + 564 + 4 + 48 = 666.

It is not an unprimeable number, because it can be changed into a prime (2052959564441) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 222153108 + ... + 222162348.

It is an arithmetic number, because the mean of its divisors is an integer number (14301708498).

Almost surely, 2^{2052959564448} 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 2052959564448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3432410039520).

2052959564448 is an abundant number, since it is smaller than the sum of its proper divisors (4811860514592).

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

2052959564448 is a wasteful number, since it uses less digits than its factorization.

2052959564448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9642 (or 9625 counting only the distinct ones).

The product of its (nonzero) digits is 124416000, while the sum is 63.

The spelling of 2052959564448 in words is "two trillion, fifty-two billion, nine hundred fifty-nine million, five hundred sixty-four thousand, four hundred forty-eight".