2270283590784 has 640 divisors, whose sum is σ = 7031850134400. Its totient is φ = 647670988800.

The previous prime is 2270283590719. The next prime is 2270283590849. The reversal of 2270283590784 is 4870953820722.

It is an interprime number because it is at equal distance from previous prime (2270283590719) and next prime (2270283590849).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12543003174 + ... + 12543003354.

It is an arithmetic number, because the mean of its divisors is an integer number (10987265835).

Almost surely, 2^{2270283590784} is an apocalyptic number.

2270283590784 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 2270283590784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3515925067200).

2270283590784 is an abundant number, since it is smaller than the sum of its proper divisors (4761566543616).

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

2270283590784 is an equidigital number, since it uses as much as digits as its factorization.

2270283590784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 57.

The spelling of 2270283590784 in words is "two trillion, two hundred seventy billion, two hundred eighty-three million, five hundred ninety thousand, seven hundred eighty-four".