2504350560 has 192 divisors, whose sum is σ = 8052065280. Its totient is φ = 654151680.

The previous prime is 2504350501. The next prime is 2504350577. The reversal of 2504350560 is 650534052.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8000964 + ... + 8001276.

It is an arithmetic number, because the mean of its divisors is an integer number (41937840).

Almost surely, 2^2504350560 is an apocalyptic number.

2504350560 is a gapful number since it is divisible by the number (20) 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 2504350560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4026032640).

2504350560 is an abundant number, since it is smaller than the sum of its proper divisors (5547714720).

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

2504350560 is a wasteful number, since it uses less digits than its factorization.

2504350560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 2504350560 is about 50043.4866890787. The cubic root of 2504350560 is about 1357.9956345029.

The spelling of 2504350560 in words is "two billion, five hundred four million, three hundred fifty thousand, five hundred sixty".