2282412582912 has 768 divisors, whose sum is σ = 8244323942400. Its totient is φ = 543449088000.

The previous prime is 2282412582871. The next prime is 2282412582953. The reversal of 2282412582912 is 2192852142822.

It is an interprime number because it is at equal distance from previous prime (2282412582871) and next prime (2282412582953).

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 278644737 + ... + 278652927.

It is an arithmetic number, because the mean of its divisors is an integer number (10734796800).

Almost surely, 2^{2282412582912} is an apocalyptic number.

2282412582912 is a gapful number since it is divisible by the number (22) 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 2282412582912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4122161971200).

2282412582912 is an abundant number, since it is smaller than the sum of its proper divisors (5961911359488).

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

2282412582912 is a wasteful number, since it uses less digits than its factorization.

2282412582912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8284 (or 8264 counting only the distinct ones).

The product of its digits is 737280, while the sum is 48.

The spelling of 2282412582912 in words is "two trillion, two hundred eighty-two billion, four hundred twelve million, five hundred eighty-two thousand, nine hundred twelve".