2281968000 has 768 divisors, whose sum is σ = 9382988160. Its totient is φ = 527155200.

The previous prime is 2281967999. The next prime is 2281968011. The reversal of 2281968000 is 8691822.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43055974 + ... + 43056026.

Almost surely, 2^2281968000 is an apocalyptic number.

2281968000 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 2281968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4691494080).

2281968000 is an abundant number, since it is smaller than the sum of its proper divisors (7101020160).

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

2281968000 is a wasteful number, since it uses less digits than its factorization.

2281968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 2281968000 is about 47769.9487125536. The cubic root of 2281968000 is about 1316.5474513294.

It can be divided in two parts, 228196 and 8000, that added together give a square (236196 = 486²).

The spelling of 2281968000 in words is "two billion, two hundred eighty-one million, nine hundred sixty-eight thousand".