2738519452128 has 192 divisors, whose sum is σ = 7524980144640. Its totient is φ = 870383788032.

The previous prime is 2738519452099. The next prime is 2738519452199. The reversal of 2738519452128 is 8212549158372.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1378217151 + ... + 1378219137.

It is an arithmetic number, because the mean of its divisors is an integer number (39192604920).

Almost surely, 2^{2738519452128} 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 2738519452128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3762490072320).

2738519452128 is an abundant number, since it is smaller than the sum of its proper divisors (4786460692512).

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

2738519452128 is a wasteful number, since it uses less digits than its factorization.

2738519452128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3689 (or 3681 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 57.

The spelling of 2738519452128 in words is "two trillion, seven hundred thirty-eight billion, five hundred nineteen million, four hundred fifty-two thousand, one hundred twenty-eight".