2052440064 has 180 divisors, whose sum is σ = 6133982400. Its totient is φ = 660602880.

The previous prime is 2052440063. The next prime is 2052440101. The reversal of 2052440064 is 4600442502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2052440063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4570912 + ... + 4571360.

It is an arithmetic number, because the mean of its divisors is an integer number (34077680).

Almost surely, 2^2052440064 is an apocalyptic number.

2052440064 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 2052440064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3066991200).

2052440064 is an abundant number, since it is smaller than the sum of its proper divisors (4081542336).

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

2052440064 is an equidigital number, since it uses as much as digits as its factorization.

2052440064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 2052440064 is about 45303.8636762915. The cubic root of 2052440064 is about 1270.8379086212.

Adding to 2052440064 its reverse (4600442502), we get a palindrome (6652882566).

The spelling of 2052440064 in words is "two billion, fifty-two million, four hundred forty thousand, sixty-four".