2051252064 has 144 divisors (see below), whose sum is σ = 5979355200. Its totient is φ = 666851328.

The previous prime is 2051252053. The next prime is 2051252117. The reversal of 2051252064 is 4602521502.

2051252064 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2024422 + ... + 2025434.

It is an arithmetic number, because the mean of its divisors is an integer number (41523300).

Almost surely, 2^2051252064 is an apocalyptic number.

2051252064 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 2051252064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2989677600).

2051252064 is an abundant number, since it is smaller than the sum of its proper divisors (3928103136).

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

2051252064 is a wasteful number, since it uses less digits than its factorization.

2051252064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1197 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2051252064 is about 45290.7503139438. The cubic root of 2051252064 is about 1270.5926644605.

Adding to 2051252064 its reverse (4602521502), we get a palindrome (6653773566).

The spelling of 2051252064 in words is "two billion, fifty-one million, two hundred fifty-two thousand, sixty-four".