2752075243008 has 800 divisors, whose sum is σ = 10142458174464. Its totient is φ = 723480035328.

The previous prime is 2752075243003. The next prime is 2752075243121. The reversal of 2752075243008 is 8003425702572.

2752075243008 is a `hidden beast` number, since 2 + 7 + 5 + 207 + 5 + 2 + 430 + 0 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2752075243003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1385039391 + ... + 1385041377.

Almost surely, 2^{2752075243008} is an apocalyptic number.

2752075243008 is a gapful number since it is divisible by the number (28) 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 2752075243008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5071229087232).

2752075243008 is an abundant number, since it is smaller than the sum of its proper divisors (7390382931456).

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

2752075243008 is a wasteful number, since it uses less digits than its factorization.

2752075243008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2404 (or 2379 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 2752075243008 in words is "two trillion, seven hundred fifty-two billion, seventy-five million, two hundred forty-three thousand, eight".