2302424213100 has 288 divisors, whose sum is σ = 7346715780096. Its totient is φ = 552079545600.

The previous prime is 2302424213029. The next prime is 2302424213113. The reversal of 2302424213100 is 13124242032.

It is a happy number.

It is a super-2 number, since 2×2302424213100² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 241162527 + ... + 241172073.

It is an arithmetic number, because the mean of its divisors is an integer number (25509429792).

Almost surely, 2^{2302424213100} is an apocalyptic number.

2302424213100 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 2302424213100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3673357890048).

2302424213100 is an abundant number, since it is smaller than the sum of its proper divisors (5044291566996).

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

2302424213100 is a wasteful number, since it uses less digits than its factorization.

2302424213100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10365 (or 10358 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 2302424213100 its reverse (13124242032), we get a palindrome (2315548455132).

The spelling of 2302424213100 in words is "two trillion, three hundred two billion, four hundred twenty-four million, two hundred thirteen thousand, one hundred".