2427223428000 has 2304 divisors, whose sum is σ = 10691945671680. Its totient is φ = 532998144000.

The previous prime is 2427223427957. The next prime is 2427223428037. The reversal of 2427223428000 is 8243227242.

2427223428000 is a `hidden beast` number, since 2 + 4 + 2 + 7 + 223 + 428 + 0 + 0 + 0 = 666.

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

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 383 ways as a sum of consecutive naturals, for example, 23565275949 + ... + 23565276051.

It is an arithmetic number, because the mean of its divisors is an integer number (4640601420).

Almost surely, 2^{2427223428000} is an apocalyptic number.

2427223428000 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 2427223428000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5345972835840).

2427223428000 is an abundant number, since it is smaller than the sum of its proper divisors (8264722243680).

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

2427223428000 is a wasteful number, since it uses less digits than its factorization.

2427223428000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The spelling of 2427223428000 in words is "two trillion, four hundred twenty-seven billion, two hundred twenty-three million, four hundred twenty-eight thousand".