2251155200 has 216 divisors, whose sum is σ = 6440316960. Its totient is φ = 763084800.

The previous prime is 2251155191. The next prime is 2251155209. The reversal of 2251155200 is 25511522.

It is an interprime number because it is at equal distance from previous prime (2251155191) and next prime (2251155209).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2251155209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4882970 + ... + 4883430.

Almost surely, 2^2251155200 is an apocalyptic number.

2251155200 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 2251155200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3220158480).

2251155200 is an abundant number, since it is smaller than the sum of its proper divisors (4189161760).

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

2251155200 is a wasteful number, since it uses less digits than its factorization.

2251155200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 23.

The square root of 2251155200 is about 47446.3402171337. The cubic root of 2251155200 is about 1310.5949165475.

Adding to 2251155200 its reverse (25511522), we get a palindrome (2276666722).

The spelling of 2251155200 in words is "two billion, two hundred fifty-one million, one hundred fifty-five thousand, two hundred".