2752563456 has 216 divisors, whose sum is σ = 8366991360. Its totient is φ = 868589568.

The previous prime is 2752563419. The next prime is 2752563461. The reversal of 2752563456 is 6543652572.

2752563456 is a `hidden beast` number, since 2 + 7 + 5 + 2 + 5 + 634 + 5 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6729780 + ... + 6730188.

Almost surely, 2^2752563456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2752563456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4183495680).

2752563456 is an abundant number, since it is smaller than the sum of its proper divisors (5614427904).

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

2752563456 is a wasteful number, since it uses less digits than its factorization.

2752563456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 564 counting only the distinct ones).

The product of its digits is 1512000, while the sum is 45.

The square root of 2752563456 is about 52464.8783092080. The cubic root of 2752563456 is about 1401.4548576794.

The spelling of 2752563456 in words is "two billion, seven hundred fifty-two million, five hundred sixty-three thousand, four hundred fifty-six".