2141412540 has 96 divisors (see below), whose sum is σ = 6122511360. Its totient is φ = 559104000.

The previous prime is 2141412529. The next prime is 2141412541. The reversal of 2141412540 is 452141412.

It is a self number, because there is not a number n which added to its sum of digits gives 2141412540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141412541) 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, 641596 + ... + 644924.

It is an arithmetic number, because the mean of its divisors is an integer number (63776160).

Almost surely, 2^2141412540 is an apocalyptic number.

2141412540 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 2141412540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3061255680).

2141412540 is an abundant number, since it is smaller than the sum of its proper divisors (3981098820).

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

2141412540 is a wasteful number, since it uses less digits than its factorization.

2141412540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3563 (or 3561 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 2141412540 is about 46275.3988637591. The cubic root of 2141412540 is about 1288.9422132065.

Adding to 2141412540 its reverse (452141412), we get a palindrome (2593553952).

The spelling of 2141412540 in words is "two billion, one hundred forty-one million, four hundred twelve thousand, five hundred forty".