2038378020160 has 224 divisors, whose sum is σ = 4932324513792. Its totient is φ = 802319400960.

The previous prime is 2038378020149. The next prime is 2038378020169. The reversal of 2038378020160 is 610208738302.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2038378020169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4402544089 + ... + 4402544551.

Almost surely, 2^{2038378020160} is an apocalyptic number.

2038378020160 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 2038378020160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2466162256896).

2038378020160 is an abundant number, since it is smaller than the sum of its proper divisors (2893946493632).

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

2038378020160 is a wasteful number, since it uses less digits than its factorization.

2038378020160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 2038378020160 in words is "two trillion, thirty-eight billion, three hundred seventy-eight million, twenty thousand, one hundred sixty".