2281835888640 has 2880 divisors, whose sum is σ = 10820757786300. Its totient is φ = 457797795840.

The previous prime is 2281835888593. The next prime is 2281835888659. The reversal of 2281835888640 is 468885381822.

2281835888640 is a `hidden beast` number, since 2 + 2 + 8 + 1 + 8 + 3 + 588 + 8 + 6 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2273967489024 + 7868399616 = 1507968^2 + 88704^2 .

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 78683996146 + ... + 78683996174.

Almost surely, 2^{2281835888640} is an apocalyptic number.

2281835888640 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 2281835888640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5410378893150).

2281835888640 is an abundant number, since it is smaller than the sum of its proper divisors (8538921897660).

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

2281835888640 is an equidigital number, since it uses as much as digits as its factorization.

2281835888640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 47185920, while the sum is 63.

The spelling of 2281835888640 in words is "two trillion, two hundred eighty-one billion, eight hundred thirty-five million, eight hundred eighty-eight thousand, six hundred forty".