2251368000 has 448 divisors, whose sum is σ = 9446361600. Its totient is φ = 514252800.

The previous prime is 2251367917. The next prime is 2251368011. The reversal of 2251368000 is 8631522.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1511256 + ... + 1512744.

Almost surely, 2^2251368000 is an apocalyptic number.

2251368000 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 2251368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4723180800).

2251368000 is an abundant number, since it is smaller than the sum of its proper divisors (7194993600).

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

2251368000 is a wasteful number, since it uses less digits than its factorization.

2251368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1532 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2251368000 is about 47448.5826974842. The cubic root of 2251368000 is about 1310.6362117620.

Adding to 2251368000 its reverse (8631522), we get a palindrome (2259999522).

The spelling of 2251368000 in words is "two billion, two hundred fifty-one million, three hundred sixty-eight thousand".