2143002085632 has 1008 divisors, whose sum is σ = 6891012092160. Its totient is φ = 663883776000.

The previous prime is 2143002085613. The next prime is 2143002085633. The reversal of 2143002085632 is 2365802003412.

2143002085632 is a `hidden beast` number, since 2 + 14 + 3 + 0 + 0 + 2 + 0 + 8 + 5 + 632 = 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 (2143002085633) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 21217842382 + ... + 21217842482.

It is an arithmetic number, because the mean of its divisors is an integer number (6836321520).

Almost surely, 2^{2143002085632} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2143002085632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3445506046080).

2143002085632 is an abundant number, since it is smaller than the sum of its proper divisors (4748010006528).

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

2143002085632 is an equidigital number, since it uses as much as digits as its factorization.

2143002085632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 2143002085632 in words is "two trillion, one hundred forty-three billion, two million, eighty-five thousand, six hundred thirty-two".