2138764950 has 288 divisors, whose sum is σ = 6802278912. Its totient is φ = 471744000.

The previous prime is 2138764949. The next prime is 2138764967. The reversal of 2138764950 is 594678312.

2138764950 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2138764950² = 9148631022697005000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

2138764950 is strictly pandigital in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2138764896 and 2138764905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16326385 + ... + 16326515.

It is an arithmetic number, because the mean of its divisors is an integer number (23619024).

It is a 1-persistent number, because it is pandigital, but 2⋅2138764950 = 4277529900 is not.

Almost surely, 2^2138764950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2138764950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3401139456).

2138764950 is an abundant number, since it is smaller than the sum of its proper divisors (4663513962).

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

2138764950 is a wasteful number, since it uses less digits than its factorization.

2138764950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2138764950 is about 46246.7831313703. The cubic root of 2138764950 is about 1288.4107886083.

The spelling of 2138764950 in words is "two billion, one hundred thirty-eight million, seven hundred sixty-four thousand, nine hundred fifty".