2263424410200 has 192 divisors, whose sum is σ = 7134958645920. Its totient is φ = 593409024000.

The previous prime is 2263424410193. The next prime is 2263424410201. The reversal of 2263424410200 is 20144243622.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2263424410201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85667392 + ... + 85693808.

Almost surely, 2^{2263424410200} is an apocalyptic number.

2263424410200 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 2263424410200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3567479322960).

2263424410200 is an abundant number, since it is smaller than the sum of its proper divisors (4871534235720).

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

2263424410200 is a wasteful number, since it uses less digits than its factorization.

2263424410200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28838 (or 28829 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 2263424410200 its reverse (20144243622), we get a palindrome (2283568653822).

The spelling of 2263424410200 in words is "two trillion, two hundred sixty-three billion, four hundred twenty-four million, four hundred ten thousand, two hundred".