2038877946000 has 480 divisors, whose sum is σ = 8496167996160. Its totient is φ = 466028640000.

The previous prime is 2038877945999. The next prime is 2038877946011. The reversal of 2038877946000 is 6497788302.

2038877946000 is a `hidden beast` number, since 2 + 0 + 38 + 87 + 79 + 460 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2260725 + ... + 3031275.

It is an arithmetic number, because the mean of its divisors is an integer number (17700349992).

Almost surely, 2^{2038877946000} is an apocalyptic number.

2038877946000 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 2038877946000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4248083998080).

2038877946000 is an abundant number, since it is smaller than the sum of its proper divisors (6457290050160).

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

2038877946000 is a wasteful number, since it uses less digits than its factorization.

2038877946000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770597 (or 770568 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 2038877946000 in words is "two trillion, thirty-eight billion, eight hundred seventy-seven million, nine hundred forty-six thousand".