2224281600 has 288 divisors, whose sum is σ = 8175258000. Its totient is φ = 592773120.

The previous prime is 2224281599. The next prime is 2224281617. The reversal of 2224281600 is 61824222.

It is a happy number.

2224281600 is a `hidden beast` number, since 222 + 428 + 16 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1381596 + ... + 1383204.

Almost surely, 2^2224281600 is an apocalyptic number.

2224281600 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 2224281600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4087629000).

2224281600 is an abundant number, since it is smaller than the sum of its proper divisors (5950976400).

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

2224281600 is a wasteful number, since it uses less digits than its factorization.

2224281600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1650 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2224281600 is about 47162.2900207358. The cubic root of 2224281600 is about 1305.3588655016.

The spelling of 2224281600 in words is "two billion, two hundred twenty-four million, two hundred eighty-one thousand, six hundred".