2281802814720 has 2592 divisors, whose sum is σ = 10124944712064. Its totient is φ = 484923801600.

The previous prime is 2281802814653. The next prime is 2281802814737. The reversal of 2281802814720 is 274182081822.

2281802814720 is a `hidden beast` number, since 2 + 2 + 81 + 80 + 28 + 1 + 472 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a super-2 number, since 2×2281802814720² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 37406603490 + ... + 37406603550.

Almost surely, 2^{2281802814720} is an apocalyptic number.

2281802814720 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 2281802814720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5062472356032).

2281802814720 is an abundant number, since it is smaller than the sum of its proper divisors (7843141897344).

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

2281802814720 is a wasteful number, since it uses less digits than its factorization.

2281802814720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The spelling of 2281802814720 in words is "two trillion, two hundred eighty-one billion, eight hundred two million, eight hundred fourteen thousand, seven hundred twenty".