2752055610642 has 24 divisors (see below), whose sum is σ = 6421463092044. Its totient is φ = 846786341664.

The previous prime is 2752055610613. The next prime is 2752055610643. The reversal of 2752055610642 is 2460165502572.

2752055610642 is a `hidden beast` number, since 2 + 7 + 5 + 20 + 5 + 5 + 610 + 6 + 4 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2730098594601 + 21957016041 = 1652301^2 + 148179^2 .

It is a super-2 number, since 2×2752055610642² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2752055610643) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5880460473 + ... + 5880460940.

Almost surely, 2^{2752055610642} is an apocalyptic number.

2752055610642 is an abundant number, since it is smaller than the sum of its proper divisors (3669407481402).

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

2752055610642 is a wasteful number, since it uses less digits than its factorization.

2752055610642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11760921434 (or 11760921431 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 2752055610642 in words is "two trillion, seven hundred fifty-two billion, fifty-five million, six hundred ten thousand, six hundred forty-two".