2138852688 has 320 divisors, whose sum is σ = 7076118528. Its totient is φ = 542638080.

The previous prime is 2138852687. The next prime is 2138852693. The reversal of 2138852688 is 8862588312.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 2138852688.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2138852687) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8322256 + ... + 8322512.

Almost surely, 2^2138852688 is an apocalyptic number.

2138852688 is a gapful number since it is divisible by the number (28) 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 2138852688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3538059264).

2138852688 is an abundant number, since it is smaller than the sum of its proper divisors (4937265840).

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

2138852688 is a wasteful number, since it uses less digits than its factorization.

2138852688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 364 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 51.

The square root of 2138852688 is about 46247.7317065389. The cubic root of 2138852688 is about 1288.4284064147.

The spelling of 2138852688 in words is "two billion, one hundred thirty-eight million, eight hundred fifty-two thousand, six hundred eighty-eight".