2752560007540 has 96 divisors (see below), whose sum is σ = 6802702921728. Its totient is φ = 915896064000.

The previous prime is 2752560007531. The next prime is 2752560007553. The reversal of 2752560007540 is 457000652572.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 159001 + ... + 2351680.

It is an arithmetic number, because the mean of its divisors is an integer number (70861488768).

Almost surely, 2^{2752560007540} is an apocalyptic number.

2752560007540 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 2752560007540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3401351460864).

2752560007540 is an abundant number, since it is smaller than the sum of its proper divisors (4050142914188).

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

2752560007540 is a wasteful number, since it uses less digits than its factorization.

2752560007540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2510929 (or 2510927 counting only the distinct ones).

The product of its (nonzero) digits is 588000, while the sum is 43.

The spelling of 2752560007540 in words is "two trillion, seven hundred fifty-two billion, five hundred sixty million, seven thousand, five hundred forty".