2038114120 has 64 divisors (see below), whose sum is σ = 5244750720. Its totient is φ = 698264064.

The previous prime is 2038114109. The next prime is 2038114123. The reversal of 2038114120 is 214118302.

It is a happy number.

It is a super-2 number, since 2×2038114120² = 8307818332286748800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2038114091 and 2038114100.

It is not an unprimeable number, because it can be changed into a prime (2038114123) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 749884 + ... + 752596.

It is an arithmetic number, because the mean of its divisors is an integer number (81949230).

Almost surely, 2^2038114120 is an apocalyptic number.

2038114120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2038114120 is an abundant number, since it is smaller than the sum of its proper divisors (3206636600).

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

2038114120 is a wasteful number, since it uses less digits than its factorization.

2038114120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5414 (or 5410 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 2038114120 is about 45145.4772928585. The cubic root of 2038114120 is about 1267.8742042672.

The spelling of 2038114120 in words is "two billion, thirty-eight million, one hundred fourteen thousand, one hundred twenty".