2230428801024 has 192 divisors, whose sum is σ = 6768219276000. Its totient is φ = 725341962240.

The previous prime is 2230428800987. The next prime is 2230428801067. The reversal of 2230428801024 is 4201088240322.

2230428801024 is a `hidden beast` number, since 22 + 30 + 428 + 80 + 102 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2230428801024.

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 15 ways as a sum of consecutive naturals, for example, 1775232 + ... + 2759040.

Almost surely, 2^{2230428801024} is an apocalyptic number.

2230428801024 is a gapful number since it is divisible by the number (24) 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 2230428801024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3384109638000).

2230428801024 is an abundant number, since it is smaller than the sum of its proper divisors (4537790474976).

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

2230428801024 is an equidigital number, since it uses as much as digits as its factorization.

2230428801024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983881 (or 983855 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 2230428801024 in words is "two trillion, two hundred thirty billion, four hundred twenty-eight million, eight hundred one thousand, twenty-four".