2302140412032 has 64 divisors (see below), whose sum is σ = 6280332412800. Its totient is φ = 746640129024.

The previous prime is 2302140412009. The next prime is 2302140412087.

It is a happy number.

2302140412032 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2302140411993 and 2302140412011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81001432 + ... + 81029847.

It is an arithmetic number, because the mean of its divisors is an integer number (98130193950).

Almost surely, 2^{2302140412032} is an apocalyptic number.

It is an amenable number.

2302140412032 is an abundant number, since it is smaller than the sum of its proper divisors (3978192000768).

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

2302140412032 is a wasteful number, since it uses less digits than its factorization.

2302140412032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162031333 (or 162031321 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 2302140 and 412032, that added together give a palindrome (2714172).

The spelling of 2302140412032 in words is "two trillion, three hundred two billion, one hundred forty million, four hundred twelve thousand, thirty-two".