2425210400 has 72 divisors (see below), whose sum is σ = 5958563940. Its totient is φ = 963855360.

The previous prime is 2425210357. The next prime is 2425210421. The reversal of 2425210400 is 40125242.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 259983376 + 2165227024 = 16124^2 + 46532^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 115946 + ... + 135254.

Almost surely, 2^2425210400 is an apocalyptic number.

2425210400 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 2425210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2979281970).

2425210400 is an abundant number, since it is smaller than the sum of its proper divisors (3533353540).

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

2425210400 is a wasteful number, since it uses less digits than its factorization.

2425210400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19486 (or 19473 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 2425210400 is about 49246.4252509763. The cubic root of 2425210400 is about 1343.5375452108.

Adding to 2425210400 its reverse (40125242), we get a palindrome (2465335642).

The spelling of 2425210400 in words is "two billion, four hundred twenty-five million, two hundred ten thousand, four hundred".