2141544240 has 240 divisors, whose sum is σ = 7980560640. Its totient is φ = 510251520.

The previous prime is 2141544233. The next prime is 2141544253. The reversal of 2141544240 is 424451412.

2141544240 is a `hidden beast` number, since 2 + 1 + 415 + 4 + 4 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 464989 + ... + 469571.

It is an arithmetic number, because the mean of its divisors is an integer number (33252336).

Almost surely, 2^2141544240 is an apocalyptic number.

2141544240 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 2141544240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3990280320).

2141544240 is an abundant number, since it is smaller than the sum of its proper divisors (5839016400).

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

2141544240 is a wasteful number, since it uses less digits than its factorization.

2141544240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4672 (or 4663 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 2141544240 is about 46276.8218442019. The cubic root of 2141544240 is about 1288.9686366079.

Adding to 2141544240 its reverse (424451412), we get a palindrome (2565995652).

The spelling of 2141544240 in words is "two billion, one hundred forty-one million, five hundred forty-four thousand, two hundred forty".