2141531040 has 192 divisors, whose sum is σ = 7746762240. Its totient is φ = 491811840.

The previous prime is 2141531011. The next prime is 2141531053. The reversal of 2141531040 is 401351412.

It is a junction number, because it is equal to n+sod(n) for n = 2141530998 and 2141531016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89647 + ... + 110993.

It is an arithmetic number, because the mean of its divisors is an integer number (40347720).

Almost surely, 2^2141531040 is an apocalyptic number.

2141531040 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 2141531040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3873381120).

2141531040 is an abundant number, since it is smaller than the sum of its proper divisors (5605231200).

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

2141531040 is a wasteful number, since it uses less digits than its factorization.

2141531040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21395 (or 21387 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 2141531040 is about 46276.6792239893. The cubic root of 2141531040 is about 1288.9659882976.

Adding to 2141531040 its reverse (401351412), we get a palindrome (2542882452).

The spelling of 2141531040 in words is "two billion, one hundred forty-one million, five hundred thirty-one thousand, forty".