2430253045200 has 120 divisors (see below), whose sum is σ = 7950547168128. Its totient is φ = 634278794240.

The previous prime is 2430253045189. The next prime is 2430253045201. The reversal of 2430253045200 is 25403520342.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×2430253045200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2430253045201) 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, 21488397 + ... + 21601196.

Almost surely, 2^{2430253045200} is an apocalyptic number.

2430253045200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2430253045200 is an abundant number, since it is smaller than the sum of its proper divisors (5520294122928).

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

2430253045200 is a wasteful number, since it uses less digits than its factorization.

2430253045200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43089661 (or 43089650 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

Adding to 2430253045200 its reverse (25403520342), we get a palindrome (2455656565542).

The spelling of 2430253045200 in words is "two trillion, four hundred thirty billion, two hundred fifty-three million, forty-five thousand, two hundred".