2703138087104 has 448 divisors, whose sum is σ = 6971116400640. Its totient is φ = 1011295272960.

The previous prime is 2703138087077. The next prime is 2703138087131. The reversal of 2703138087104 is 4017808313072.

2703138087104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2703138087077) and next prime (2703138087131).

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×2703138087104² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2074548917 + ... + 2074550219.

It is an arithmetic number, because the mean of its divisors is an integer number (15560527680).

Almost surely, 2^{2703138087104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2703138087104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3485558200320).

2703138087104 is an abundant number, since it is smaller than the sum of its proper divisors (4267978313536).

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

2703138087104 is a wasteful number, since it uses less digits than its factorization.

2703138087104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1608 (or 1598 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 44.

The spelling of 2703138087104 in words is "two trillion, seven hundred three billion, one hundred thirty-eight million, eighty-seven thousand, one hundred four".