2703898983072 has 96 divisors (see below), whose sum is σ = 8391410697600. Its totient is φ = 745903162368.

The previous prime is 2703898983007. The next prime is 2703898983077.

It is a happy number.

2703898983072 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2703898983072² (a number of 26 digits) contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 2703898982994 and 2703898983012.

It is not an unprimeable number, because it can be changed into a prime (2703898983077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69353947 + ... + 69392922.

It is an arithmetic number, because the mean of its divisors is an integer number (87410528100).

Almost surely, 2^{2703898983072} is an apocalyptic number.

It is an amenable number.

2703898983072 is an abundant number, since it is smaller than the sum of its proper divisors (5687511714528).

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

2703898983072 is a wasteful number, since it uses less digits than its factorization.

2703898983072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138746918 (or 138746910 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 66.

It can be divided in two parts, 2703898 and 983072, that added together give a triangular number (3686970 = T₂₇₁₅).

The spelling of 2703898983072 in words is "two trillion, seven hundred three billion, eight hundred ninety-eight million, nine hundred eighty-three thousand, seventy-two".