2752103857840 has 80 divisors (see below), whose sum is σ = 6488643762720. Its totient is φ = 1085441679360.

The previous prime is 2752103857837. The next prime is 2752103857843. The reversal of 2752103857840 is 487583012572.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2752103857837) and next prime (2752103857843).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (2752103857843) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1428235 + ... + 2746645.

It is an arithmetic number, because the mean of its divisors is an integer number (81108047034).

Almost surely, 2^{2752103857840} is an apocalyptic number.

2752103857840 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 2752103857840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3244321881360).

2752103857840 is an abundant number, since it is smaller than the sum of its proper divisors (3736539904880).

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

2752103857840 is a wasteful number, since it uses less digits than its factorization.

2752103857840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318790 (or 1318784 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 52.

The spelling of 2752103857840 in words is "two trillion, seven hundred fifty-two billion, one hundred three million, eight hundred fifty-seven thousand, eight hundred forty".