2451224000 has 112 divisors (see below), whose sum is σ = 6171200256. Its totient is φ = 964224000.

The previous prime is 2451223963. The next prime is 2451224051. The reversal of 2451224000 is 4221542.

It is a happy number.

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

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 485489 + ... + 490511.

Almost surely, 2^2451224000 is an apocalyptic number.

2451224000 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 2451224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3085600128).

2451224000 is an abundant number, since it is smaller than the sum of its proper divisors (3719976256).

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

2451224000 is an equidigital number, since it uses as much as digits as its factorization.

2451224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5111 (or 5091 counting only the distinct ones).

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

The square root of 2451224000 is about 49509.8374063175. The cubic root of 2451224000 is about 1348.3242123889.

Adding to 2451224000 its reverse (4221542), we get a palindrome (2455445542).

The spelling of 2451224000 in words is "two billion, four hundred fifty-one million, two hundred twenty-four thousand".