2430242266452 has 576 divisors, whose sum is σ = 8170825420800. Its totient is φ = 551104404480.

The previous prime is 2430242266421. The next prime is 2430242266489. The reversal of 2430242266452 is 2546622420342.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1707829413 + ... + 1707830835.

It is an arithmetic number, because the mean of its divisors is an integer number (14185460800).

Almost surely, 2^{2430242266452} is an apocalyptic number.

2430242266452 is a gapful number since it is divisible by the number (22) 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 2430242266452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4085412710400).

2430242266452 is an abundant number, since it is smaller than the sum of its proper divisors (5740583154348).

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

2430242266452 is a wasteful number, since it uses less digits than its factorization.

2430242266452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2556 (or 2547 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 42.

Adding to 2430242266452 its reverse (2546622420342), we get a palindrome (4976864686794).

The spelling of 2430242266452 in words is "two trillion, four hundred thirty billion, two hundred forty-two million, two hundred sixty-six thousand, four hundred fifty-two".