2018971136 has 160 divisors (see below), whose sum is σ = 5259038400. Its totient is φ = 751435776.

The previous prime is 2018971133. The next prime is 2018971169. The reversal of 2018971136 is 6311798102.

It is a super-2 number, since 2×2018971136² = 8152488896002260992, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2018971136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2018971133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 790790 + ... + 793338.

It is an arithmetic number, because the mean of its divisors is an integer number (32868990).

Almost surely, 2^2018971136 is an apocalyptic number.

2018971136 is a gapful number since it is divisible by the number (26) 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 2018971136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2629519200).

2018971136 is an abundant number, since it is smaller than the sum of its proper divisors (3240067264).

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

2018971136 is a wasteful number, since it uses less digits than its factorization.

2018971136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2604 (or 2588 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 38.

The square root of 2018971136 is about 44932.9626888769. The cubic root of 2018971136 is about 1263.8922089355.

The spelling of 2018971136 in words is "two billion, eighteen million, nine hundred seventy-one thousand, one hundred thirty-six".