2452414233100 has 72 divisors (see below), whose sum is σ = 5737567334688. Its totient is φ = 904485504000.

The previous prime is 2452414233089. The next prime is 2452414233109. The reversal of 2452414233100 is 13324142542.

It is a super-2 number, since 2×2452414233100² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2452414233109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89700 + ... + 2216500.

It is an arithmetic number, because the mean of its divisors is an integer number (79688435204).

Almost surely, 2^{2452414233100} is an apocalyptic number.

2452414233100 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 2452414233100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2868783667344).

2452414233100 is an abundant number, since it is smaller than the sum of its proper divisors (3285153101588).

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

2452414233100 is a wasteful number, since it uses less digits than its factorization.

2452414233100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2127715 (or 2127708 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

Adding to 2452414233100 its reverse (13324142542), we get a palindrome (2465738375642).

The spelling of 2452414233100 in words is "two trillion, four hundred fifty-two billion, four hundred fourteen million, two hundred thirty-three thousand, one hundred".