2038225669632 has 200 divisors, whose sum is σ = 6166912631616. Its totient is φ = 670100594688.

The previous prime is 2038225669609. The next prime is 2038225669661. The reversal of 2038225669632 is 2369665228302.

2038225669632 is a `hidden beast` number, since 2 + 0 + 382 + 256 + 6 + 9 + 6 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2690833 + ... + 3364079.

Almost surely, 2^{2038225669632} 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 2038225669632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3083456315808).

2038225669632 is an abundant number, since it is smaller than the sum of its proper divisors (4128686961984).

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

2038225669632 is an frugal number, since it uses more digits than its factorization.

2038225669632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673350 (or 673325 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 2038225669632 in words is "two trillion, thirty-eight billion, two hundred twenty-five million, six hundred sixty-nine thousand, six hundred thirty-two".