2138821776 has 240 divisors, whose sum is σ = 7519657600. Its totient is φ = 563915520.

The previous prime is 2138821759. The next prime is 2138821777. The reversal of 2138821776 is 6771288312.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2138821777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 640431 + ... + 643761.

Almost surely, 2^2138821776 is an apocalyptic number.

2138821776 is a gapful number since it is divisible by the number (26) 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 2138821776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3759828800).

2138821776 is an abundant number, since it is smaller than the sum of its proper divisors (5380835824).

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

2138821776 is a wasteful number, since it uses less digits than its factorization.

2138821776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3379 (or 3356 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The square root of 2138821776 is about 46247.3975051570. The cubic root of 2138821776 is about 1288.4221993344.

The spelling of 2138821776 in words is "two billion, one hundred thirty-eight million, eight hundred twenty-one thousand, seven hundred seventy-six".