2738463543750 has 384 divisors, whose sum is σ = 7722990696960. Its totient is φ = 641520000000.

The previous prime is 2738463543721. The next prime is 2738463543779. The reversal of 2738463543750 is 573453648372.

2738463543750 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 (2738463543721) and next prime (2738463543779).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 921729765 + ... + 921732735.

It is an arithmetic number, because the mean of its divisors is an integer number (20111954940).

Almost surely, 2^{2738463543750} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2738463543750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3861495348480).

2738463543750 is an abundant number, since it is smaller than the sum of its proper divisors (4984527153210).

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

2738463543750 is a wasteful number, since it uses less digits than its factorization.

2738463543750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3162 (or 3142 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 57.

The spelling of 2738463543750 in words is "two trillion, seven hundred thirty-eight billion, four hundred sixty-three million, five hundred forty-three thousand, seven hundred fifty".