2745235584 has 768 divisors, whose sum is σ = 10744272000. Its totient is φ = 682795008.

The previous prime is 2745235517. The next prime is 2745235621. The reversal of 2745235584 is 4855325472.

2745235584 is a `hidden beast` number, since 2 + 7 + 45 + 23 + 5 + 584 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63842667 + ... + 63842709.

Almost surely, 2^2745235584 is an apocalyptic number.

2745235584 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 2745235584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5372136000).

2745235584 is an abundant number, since it is smaller than the sum of its proper divisors (7999036416).

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

2745235584 is a wasteful number, since it uses less digits than its factorization.

2745235584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 97 counting only the distinct ones).

The product of its digits is 1344000, while the sum is 45.

The square root of 2745235584 is about 52394.9957915830. The cubic root of 2745235584 is about 1400.2101018012.

It can be divided in two parts, 27452 and 35584, that added together give a palindrome (63036).

The spelling of 2745235584 in words is "two billion, seven hundred forty-five million, two hundred thirty-five thousand, five hundred eighty-four".