2038715315712 has 640 divisors, whose sum is σ = 6635669040000. Its totient is φ = 615153401856.

The previous prime is 2038715315647. The next prime is 2038715315719. The reversal of 2038715315712 is 2175135178302.

2038715315712 is a `hidden beast` number, since 2 + 0 + 3 + 8 + 71 + 5 + 3 + 1 + 571 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2038715315719) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2651124864 + ... + 2651125632.

It is an arithmetic number, because the mean of its divisors is an integer number (10368232875).

Almost surely, 2^{2038715315712} 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 2038715315712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3317834520000).

2038715315712 is an abundant number, since it is smaller than the sum of its proper divisors (4596953724288).

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

2038715315712 is a wasteful number, since it uses less digits than its factorization.

2038715315712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 2038715315712 in words is "two trillion, thirty-eight billion, seven hundred fifteen million, three hundred fifteen thousand, seven hundred twelve".