2140165343232 has 576 divisors, whose sum is σ = 7165141401600. Its totient is φ = 602810449920.

The previous prime is 2140165343219. The next prime is 2140165343243. The reversal of 2140165343232 is 2323435610412.

2140165343232 is a `hidden beast` number, since 2 + 140 + 1 + 6 + 53 + 432 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3457455819 + ... + 3457456437.

It is an arithmetic number, because the mean of its divisors is an integer number (12439481600).

Almost surely, 2^{2140165343232} 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 2140165343232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3582570700800).

2140165343232 is an abundant number, since it is smaller than the sum of its proper divisors (5024976058368).

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

2140165343232 is a wasteful number, since it uses less digits than its factorization.

2140165343232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 2140165343232 in words is "two trillion, one hundred forty billion, one hundred sixty-five million, three hundred forty-three thousand, two hundred thirty-two".