2141728848 has 180 divisors, whose sum is σ = 6998528628. Its totient is φ = 609638400.

The previous prime is 2141728847. The next prime is 2141728859. The reversal of 2141728848 is 8488271412.

It can be written as a sum of positive squares in 2 ways, for example, as 1029639744 + 1112089104 = 32088^2 + 33348^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141728843) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3054898 + ... + 3055598.

Almost surely, 2^2141728848 is an apocalyptic number.

2141728848 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 2141728848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3499264314).

2141728848 is an abundant number, since it is smaller than the sum of its proper divisors (4856799780).

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

2141728848 is a wasteful number, since it uses less digits than its factorization.

2141728848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1162 (or 1146 counting only the distinct ones).

The product of its digits is 229376, while the sum is 45.

The square root of 2141728848 is about 46278.8164066455. The cubic root of 2141728848 is about 1289.0056732908.

The spelling of 2141728848 in words is "two billion, one hundred forty-one million, seven hundred twenty-eight thousand, eight hundred forty-eight".