2245726800 has 180 divisors, whose sum is σ = 8045092224. Its totient is φ = 579513600.

The previous prime is 2245726799. The next prime is 2245726801. The reversal of 2245726800 is 86275422.

2245726800 is a `hidden beast` number, since 2 + 2 + 4 + 572 + 6 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2245726799) and next prime (2245726801).

It is a tau number, because it is divible by the number of its divisors (180).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2245726801) 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 35 ways as a sum of consecutive naturals, for example, 101539 + ... + 121661.

Almost surely, 2^2245726800 is an apocalyptic number.

2245726800 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 2245726800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4022546112).

2245726800 is an abundant number, since it is smaller than the sum of its proper divisors (5799365424).

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

2245726800 is a wasteful number, since it uses less digits than its factorization.

2245726800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20178 (or 20164 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2245726800 is about 47389.1000125556. The cubic root of 2245726800 is about 1309.5406193786.

The spelling of 2245726800 in words is "two billion, two hundred forty-five million, seven hundred twenty-six thousand, eight hundred".