2141544080 has 80 divisors (see below), whose sum is σ = 5450161584. Its totient is φ = 777738240.

The previous prime is 2141544079. The next prime is 2141544089. The reversal of 2141544080 is 804451412.

It can be written as a sum of positive squares in 8 ways, for example, as 496754944 + 1644789136 = 22288^2 + 40556^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2141544080² = 9172422093166092800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2141544089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46562 + ... + 80318.

Almost surely, 2^2141544080 is an apocalyptic number.

2141544080 is a gapful number since it is divisible by the number (20) 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 2141544080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2725080792).

2141544080 is an abundant number, since it is smaller than the sum of its proper divisors (3308617504).

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

2141544080 is a wasteful number, since it uses less digits than its factorization.

2141544080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33844 (or 33838 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 29.

The square root of 2141544080 is about 46276.8201154747. The cubic root of 2141544080 is about 1288.9686045072.

Adding to 2141544080 its reverse (804451412), we get a palindrome (2945995492).

The spelling of 2141544080 in words is "two billion, one hundred forty-one million, five hundred forty-four thousand, eighty".