2252720064 has 112 divisors (see below), whose sum is σ = 6927494400. Its totient is φ = 632702976.

The previous prime is 2252720017. The next prime is 2252720081. The reversal of 2252720064 is 4600272522.

It is a tau number, because it is divible by the number of its divisors (112).

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 15 ways as a sum of consecutive naturals, for example, 65092 + ... + 93500.

Almost surely, 2^2252720064 is an apocalyptic number.

2252720064 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 2252720064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3463747200).

2252720064 is an abundant number, since it is smaller than the sum of its proper divisors (4674774336).

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

2252720064 is a wasteful number, since it uses less digits than its factorization.

2252720064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28490 (or 28480 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 2252720064 is about 47462.8282343141. The cubic root of 2252720064 is about 1310.8985277433.

Adding to 2252720064 its reverse (4600272522), we get a palindrome (6852992586).

The spelling of 2252720064 in words is "two billion, two hundred fifty-two million, seven hundred twenty thousand, sixty-four".