2138087952 has 540 divisors, whose sum is σ = 8272867824. Its totient is φ = 509483520.

The previous prime is 2138087929. The next prime is 2138087953. The reversal of 2138087952 is 2597808312.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2138087898 and 2138087907.

It is not an unprimeable number, because it can be changed into a prime (2138087953) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 13117023 + ... + 13117185.

Almost surely, 2^2138087952 is an apocalyptic number.

2138087952 is a gapful number since it is divisible by the number (22) 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 2138087952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4136433912).

2138087952 is an abundant number, since it is smaller than the sum of its proper divisors (6134779872).

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

2138087952 is a wasteful number, since it uses less digits than its factorization.

2138087952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 2138087952 is about 46239.4631456724. The cubic root of 2138087952 is about 1288.2748310819.

The spelling of 2138087952 in words is "two billion, one hundred thirty-eight million, eighty-seven thousand, nine hundred fifty-two".