2286141732000 has 960 divisors, whose sum is σ = 9666328928256. Its totient is φ = 518366822400.

The previous prime is 2286141731977. The next prime is 2286141732001. The reversal of 2286141732000 is 2371416822.

It is a happy number.

2286141732000 is a `hidden beast` number, since 2 + 2 + 8 + 614 + 1 + 7 + 32 + 0 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2286141732001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 288032032 + ... + 288039968.

Almost surely, 2^{2286141732000} is an apocalyptic number.

2286141732000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2286141732000 is the 756000-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2286141732000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4833164464128).

2286141732000 is an abundant number, since it is smaller than the sum of its proper divisors (7380187196256).

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

2286141732000 is a wasteful number, since it uses less digits than its factorization.

2286141732000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8108 (or 8081 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 2286141732000 in words is "two trillion, two hundred eighty-six billion, one hundred forty-one million, seven hundred thirty-two thousand".