2038697525736 has 384 divisors, whose sum is σ = 6097472035200. Its totient is φ = 637223915520.

The previous prime is 2038697525731. The next prime is 2038697525737. The reversal of 2038697525736 is 6375257968302.

It is a happy number.

2038697525736 is a `hidden beast` number, since 2 + 0 + 3 + 8 + 6 + 9 + 7 + 52 + 573 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (2038697525731) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 244766820 + ... + 244775148.

It is an arithmetic number, because the mean of its divisors is an integer number (15878833425).

Almost surely, 2^{2038697525736} 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 2038697525736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3048736017600).

2038697525736 is an abundant number, since it is smaller than the sum of its proper divisors (4058774509464).

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

2038697525736 is a wasteful number, since it uses less digits than its factorization.

2038697525736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8511 (or 8495 counting only the distinct ones).

The product of its (nonzero) digits is 114307200, while the sum is 63.

The spelling of 2038697525736 in words is "two trillion, thirty-eight billion, six hundred ninety-seven million, five hundred twenty-five thousand, seven hundred thirty-six".