2262624200 has 96 divisors (see below), whose sum is σ = 5380369920. Its totient is φ = 884640000.

The previous prime is 2262624193. The next prime is 2262624211. The reversal of 2262624200 is 24262622.

It is a self number, because there is not a number n which added to its sum of digits gives 2262624200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2329715 + ... + 2330685.

It is an arithmetic number, because the mean of its divisors is an integer number (56045520).

Almost surely, 2^2262624200 is an apocalyptic number.

2262624200 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 2262624200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2690184960).

2262624200 is an abundant number, since it is smaller than the sum of its proper divisors (3117745720).

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

2262624200 is a wasteful number, since it uses less digits than its factorization.

2262624200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 2262624200 is about 47567.0495195992. The cubic root of 2262624200 is about 1312.8168510915.

Adding to 2262624200 its reverse (24262622), we get a palindrome (2286886822).

The spelling of 2262624200 in words is "two billion, two hundred sixty-two million, six hundred twenty-four thousand, two hundred".