2505560064 has 104 divisors (see below), whose sum is σ = 7635322560. Its totient is φ = 715849728.

The previous prime is 2505560053. The next prime is 2505560081. The reversal of 2505560064 is 4600655052.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71452 + ... + 100580.

Almost surely, 2^2505560064 is an apocalyptic number.

2505560064 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 2505560064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3817661280).

2505560064 is an abundant number, since it is smaller than the sum of its proper divisors (5129762496).

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

2505560064 is an equidigital number, since it uses as much as digits as its factorization.

2505560064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29163 (or 29141 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The square root of 2505560064 is about 50055.5697600177. The cubic root of 2505560064 is about 1358.2142190238.

The spelling of 2505560064 in words is "two billion, five hundred five million, five hundred sixty thousand, sixty-four".