2138209416 has 192 divisors, whose sum is σ = 6742569600. Its totient is φ = 599583744.

The previous prime is 2138209373. The next prime is 2138209433. The reversal of 2138209416 is 6149028312.

2138209416 is a `hidden beast` number, since 2 + 1 + 38 + 209 + 416 = 666.

It is a super-2 number, since 2×2138209416² = 9143879013342122112, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 11945215 + ... + 11945393.

It is an arithmetic number, because the mean of its divisors is an integer number (35117550).

Almost surely, 2^2138209416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2138209416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3371284800).

2138209416 is an abundant number, since it is smaller than the sum of its proper divisors (4604360184).

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

2138209416 is a wasteful number, since it uses less digits than its factorization.

2138209416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2138209416 is about 46240.7765505728. The cubic root of 2138209416 is about 1288.2992260951.

The spelling of 2138209416 in words is "two billion, one hundred thirty-eight million, two hundred nine thousand, four hundred sixteen".