2752542438560 has 192 divisors, whose sum is σ = 6807992696064. Its totient is φ = 1050668236800.

The previous prime is 2752542438557. The next prime is 2752542438563. The reversal of 2752542438560 is 658342452572.

It is an interprime number because it is at equal distance from previous prime (2752542438557) and next prime (2752542438563).

It is not an unprimeable number, because it can be changed into a prime (2752542438563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81104795 + ... + 81138725.

It is an arithmetic number, because the mean of its divisors is an integer number (35458295292).

Almost surely, 2^{2752542438560} is an apocalyptic number.

2752542438560 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 2752542438560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3403996348032).

2752542438560 is an abundant number, since it is smaller than the sum of its proper divisors (4055450257504).

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

2752542438560 is a wasteful number, since it uses less digits than its factorization.

2752542438560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34247 (or 34239 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 53.

The spelling of 2752542438560 in words is "two trillion, seven hundred fifty-two billion, five hundred forty-two million, four hundred thirty-eight thousand, five hundred sixty".