2425311200 has 144 divisors (see below), whose sum is σ = 6482460096. Its totient is φ = 880588800.

The previous prime is 2425311181. The next prime is 2425311277. The reversal of 2425311200 is 21135242.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 632489 + ... + 636311.

It is an arithmetic number, because the mean of its divisors is an integer number (45017084).

Almost surely, 2^2425311200 is an apocalyptic number.

2425311200 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 2425311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3241230048).

2425311200 is an abundant number, since it is smaller than the sum of its proper divisors (4057148896).

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

2425311200 is a wasteful number, since it uses less digits than its factorization.

2425311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3917 (or 3904 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 2425311200 is about 49247.4486648801. The cubic root of 2425311200 is about 1343.5561589509.

Adding to 2425311200 its reverse (21135242), we get a palindrome (2446446442).

It can be divided in two parts, 24253 and 11200, that added together give a palindrome (35453).

The spelling of 2425311200 in words is "two billion, four hundred twenty-five million, three hundred eleven thousand, two hundred".