2141487936 has 224 divisors, whose sum is σ = 7428341760. Its totient is φ = 592012800.

The previous prime is 2141487917. The next prime is 2141487937. The reversal of 2141487936 is 6397841412.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a junction number, because it is equal to n+sod(n) for n = 2141487891 and 2141487900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141487937) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 372121 + ... + 377831.

It is an arithmetic number, because the mean of its divisors is an integer number (33162240).

Almost surely, 2^2141487936 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 2141487936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3714170880).

2141487936 is an abundant number, since it is smaller than the sum of its proper divisors (5286853824).

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

2141487936 is a wasteful number, since it uses less digits than its factorization.

2141487936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5770 (or 5754 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 2141487936 is about 46276.2135011066. The cubic root of 2141487936 is about 1288.9573402849.

The spelling of 2141487936 in words is "two billion, one hundred forty-one million, four hundred eighty-seven thousand, nine hundred thirty-six".