2138685120 has 560 divisors, whose sum is σ = 8953183008. Its totient is φ = 477757440.

The previous prime is 2138685113. The next prime is 2138685167. The reversal of 2138685120 is 215868312.

It is a happy number.

2138685120 is a `hidden beast` number, since 2 + 138 + 6 + 8 + 512 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3706272 + ... + 3706848.

Almost surely, 2^2138685120 is an apocalyptic number.

2138685120 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 2138685120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4476591504).

2138685120 is an abundant number, since it is smaller than the sum of its proper divisors (6814497888).

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

2138685120 is a wasteful number, since it uses less digits than its factorization.

2138685120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 2138685120 is about 46245.9200362583. The cubic root of 2138685120 is about 1288.3947583112.

The spelling of 2138685120 in words is "two billion, one hundred thirty-eight million, six hundred eighty-five thousand, one hundred twenty".