2424141400 has 96 divisors (see below), whose sum is σ = 5832751680. Its totient is φ = 936320000.

The previous prime is 2424141337. The next prime is 2424141451. The reversal of 2424141400 is 41414242.

2424141400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 826737 + ... + 829663.

It is an arithmetic number, because the mean of its divisors is an integer number (60757830).

Almost surely, 2^2424141400 is an apocalyptic number.

2424141400 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 2424141400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2916375840).

2424141400 is an abundant number, since it is smaller than the sum of its proper divisors (3408610280).

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

2424141400 is a wasteful number, since it uses less digits than its factorization.

2424141400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3085 (or 3076 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 2424141400 is about 49235.5704750133. The cubic root of 2424141400 is about 1343.3401117959.

Adding to 2424141400 its reverse (41414242), we get a palindrome (2465555642).

The spelling of 2424141400 in words is "two billion, four hundred twenty-four million, one hundred forty-one thousand, four hundred".