2263027507200 has 1008 divisors, whose sum is σ = 8640626183280. Its totient is φ = 586686136320.

The previous prime is 2263027507189. The next prime is 2263027507259. The reversal of 2263027507200 is 27057203622.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1841356186 + ... + 1841357414.

It is an arithmetic number, because the mean of its divisors is an integer number (8572049785).

Almost surely, 2^{2263027507200} is an apocalyptic number.

2263027507200 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 2263027507200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4320313091640).

2263027507200 is an abundant number, since it is smaller than the sum of its proper divisors (6377598676080).

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

2263027507200 is an equidigital number, since it uses as much as digits as its factorization.

2263027507200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 2263027507200 in words is "two trillion, two hundred sixty-three billion, twenty-seven million, five hundred seven thousand, two hundred".