2038854504960 has 2880 divisors, whose sum is σ = 9569764638720. Its totient is φ = 391283343360.

The previous prime is 2038854504931. The next prime is 2038854504961. The reversal of 2038854504960 is 694054588302.

2038854504960 is a `hidden beast` number, since 2 + 0 + 3 + 8 + 8 + 545 + 0 + 4 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a junction number, because it is equal to n+sod(n) for n = 2038854504897 and 2038854504906.

It is not an unprimeable number, because it can be changed into a prime (2038854504961) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 16053972417 + ... + 16053972543.

It is an arithmetic number, because the mean of its divisors is an integer number (3322834944).

Almost surely, 2^{2038854504960} is an apocalyptic number.

2038854504960 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 2038854504960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4784882319360).

2038854504960 is an abundant number, since it is smaller than the sum of its proper divisors (7530910133760).

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

2038854504960 is a wasteful number, since it uses less digits than its factorization.

2038854504960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 2038854504960 in words is "two trillion, thirty-eight billion, eight hundred fifty-four million, five hundred four thousand, nine hundred sixty".