2752455106104 has 128 divisors (see below), whose sum is σ = 7934575968000. Its totient is φ = 786899404800.

The previous prime is 2752455106103. The next prime is 2752455106117. The reversal of 2752455106104 is 4016015542572.

2752455106104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2752455106104² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2752455106103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70402 + ... + 2347310.

It is an arithmetic number, because the mean of its divisors is an integer number (61988874750).

Almost surely, 2^{2752455106104} is an apocalyptic number.

2752455106104 is a gapful number since it is divisible by the number (24) 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 2752455106104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3967287984000).

2752455106104 is an abundant number, since it is smaller than the sum of its proper divisors (5182120861896).

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

2752455106104 is a wasteful number, since it uses less digits than its factorization.

2752455106104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2277189 (or 2277185 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 42.

The spelling of 2752455106104 in words is "two trillion, seven hundred fifty-two billion, four hundred fifty-five million, one hundred six thousand, one hundred four".