2430020400 has 240 divisors, whose sum is σ = 8022120480. Its totient is φ = 628531200.

The previous prime is 2430020353. The next prime is 2430020401. The reversal of 2430020400 is 40200342.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2430020400.

It is not an unprimeable number, because it can be changed into a prime (2430020401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6514614 + ... + 6514986.

It is an arithmetic number, because the mean of its divisors is an integer number (33425502).

Almost surely, 2^2430020400 is an apocalyptic number.

2430020400 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 2430020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4011060240).

2430020400 is an abundant number, since it is smaller than the sum of its proper divisors (5592100080).

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

2430020400 is a wasteful number, since it uses less digits than its factorization.

2430020400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 2430020400 is about 49295.2370924413. The cubic root of 2430020400 is about 1344.4251861236.

Adding to 2430020400 its reverse (40200342), we get a palindrome (2470220742).

The spelling of 2430020400 in words is "two billion, four hundred thirty million, twenty thousand, four hundred".