2752142763552 has 288 divisors, whose sum is σ = 9443812436352. Its totient is φ = 694281240576.

The previous prime is 2752142763551. The next prime is 2752142763581. The reversal of 2752142763552 is 2553672412572.

It is a junction number, because it is equal to n+sod(n) for n = 2752142763495 and 2752142763504.

It is not an unprimeable number, because it can be changed into a prime (2752142763551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 428128 + ... + 2384864.

It is an arithmetic number, because the mean of its divisors is an integer number (32791015404).

Almost surely, 2^{2752142763552} 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 2752142763552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4721906218176).

2752142763552 is an abundant number, since it is smaller than the sum of its proper divisors (6691669672800).

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

2752142763552 is a wasteful number, since it uses less digits than its factorization.

2752142763552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1956800 (or 1956785 counting only the distinct ones).

The product of its digits is 7056000, while the sum is 51.

The spelling of 2752142763552 in words is "two trillion, seven hundred fifty-two billion, one hundred forty-two million, seven hundred sixty-three thousand, five hundred fifty-two".