4560002560 has 80 divisors (see below), whose sum is σ = 10961878752. Its totient is φ = 1819238400.

The previous prime is 4560002533. The next prime is 4560002593. The reversal of 4560002560 is 652000654.

It is a tau number, because it is divible by the number of its divisors (80).

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 7 ways as a sum of consecutive naturals, for example, 1075645 + ... + 1079875.

Almost surely, 2^4560002560 is an apocalyptic number.

4560002560 is a gapful number since it is divisible by the number (40) 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 4560002560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5480939376).

4560002560 is an abundant number, since it is smaller than the sum of its proper divisors (6401876192).

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

4560002560 is an equidigital number, since it uses as much as digits as its factorization.

4560002560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4675 (or 4659 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 4560002560 is about 67527.7910196980. The cubic root of 4560002560 is about 1658.2691786892.

The spelling of 4560002560 in words is "four billion, five hundred sixty million, two thousand, five hundred sixty".