2263148800 has 432 divisors, whose sum is σ = 6788565504. Its totient is φ = 737280000.

The previous prime is 2263148759. The next prime is 2263148801. The reversal of 2263148800 is 88413622.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (2263148801) 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, 37100770 + ... + 37100830.

It is an arithmetic number, because the mean of its divisors is an integer number (15714272).

Almost surely, 2^2263148800 is an apocalyptic number.

2263148800 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 2263148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3394282752).

2263148800 is an abundant number, since it is smaller than the sum of its proper divisors (4525416704).

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

2263148800 is a wasteful number, since it uses less digits than its factorization.

2263148800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 2263148800 is about 47572.5635214248. The cubic root of 2263148800 is about 1312.9183041595.

The spelling of 2263148800 in words is "two billion, two hundred sixty-three million, one hundred forty-eight thousand, eight hundred".