2038121706384 has 135 divisors (see below), whose sum is σ = 5738106147579. Its totient is φ = 675325149120.

The previous prime is 2038121706373. The next prime is 2038121706409. The reversal of 2038121706384 is 4836071218302.

The square root of 2038121706384 is 1427628.

It is a perfect power (a square), and thus also a powerful number.

2038121706384 is a `hidden beast` number, since 2 + 0 + 3 + 8 + 1 + 2 + 1 + 7 + 0 + 638 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4642646037 + ... + 4642646475.

Almost surely, 2^{2038121706384} is an apocalyptic number.

2038121706384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2038121706384 is the 1427628-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2038121706384

2038121706384 is an abundant number, since it is smaller than the sum of its proper divisors (3699984441195).

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

2038121706384 is an frugal number, since it uses more digits than its factorization.

2038121706384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1434 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 2038121706384 in words is "two trillion, thirty-eight billion, one hundred twenty-one million, seven hundred six thousand, three hundred eighty-four".