2038712232960 has 704 divisors, whose sum is σ = 8213336947200. Its totient is φ = 475416428544.

The previous prime is 2038712232911. The next prime is 2038712232967. The reversal of 2038712232960 is 692322178302.

2038712232960 is a `hidden beast` number, since 20 + 387 + 1 + 223 + 29 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2038712232967) 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, 34115427 + ... + 34175133.

It is an arithmetic number, because the mean of its divisors is an integer number (11666671800).

Almost surely, 2^{2038712232960} is an apocalyptic number.

2038712232960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2038712232960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4106668473600).

2038712232960 is an abundant number, since it is smaller than the sum of its proper divisors (6174624714240).

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

2038712232960 is a wasteful number, since it uses less digits than its factorization.

2038712232960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59773 (or 59749 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 2038712232960 in words is "two trillion, thirty-eight billion, seven hundred twelve million, two hundred thirty-two thousand, nine hundred sixty".