2138220448 has 108 divisors (see below), whose sum is σ = 5303224710. Its totient is φ = 845784576.

The previous prime is 2138220437. The next prime is 2138220449. The reversal of 2138220448 is 8440228312.

It can be written as a sum of positive squares in 3 ways, for example, as 352988944 + 1785231504 = 18788^2 + 42252^2 .

It is not an unprimeable number, because it can be changed into a prime (2138220449) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 260958 + ... + 269026.

Almost surely, 2^2138220448 is an apocalyptic number.

2138220448 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 2138220448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2651612355).

2138220448 is an abundant number, since it is smaller than the sum of its proper divisors (3165004262).

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

2138220448 is a wasteful number, since it uses less digits than its factorization.

2138220448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8119 (or 8091 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 34.

The square root of 2138220448 is about 46240.8958390730. The cubic root of 2138220448 is about 1288.3014417328.

The spelling of 2138220448 in words is "two billion, one hundred thirty-eight million, two hundred twenty thousand, four hundred forty-eight".