2735248560 has 240 divisors, whose sum is σ = 9404398080. Its totient is φ = 657113600.

The previous prime is 2735248511. The next prime is 2735248589. The reversal of 2735248560 is 658425372.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3803881 + ... + 3804599.

It is an arithmetic number, because the mean of its divisors is an integer number (39184992).

Almost surely, 2^2735248560 is an apocalyptic number.

2735248560 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 2735248560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4702199040).

2735248560 is an abundant number, since it is smaller than the sum of its proper divisors (6669149520).

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

2735248560 is a wasteful number, since it uses less digits than its factorization.

2735248560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The square root of 2735248560 is about 52299.6038225912. The cubic root of 2735248560 is about 1398.5100747999.

The spelling of 2735248560 in words is "two billion, seven hundred thirty-five million, two hundred forty-eight thousand, five hundred sixty".