2045332335402 has 192 divisors, whose sum is σ = 4661099614080. Its totient is φ = 647668224000.

The previous prime is 2045332335383. The next prime is 2045332335437.

It is a happy number.

2045332335402 is a `hidden beast` number, since 2 + 0 + 4 + 53 + 32 + 33 + 540 + 2 = 666.

2045332335402 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1170767493 + ... + 1170769239.

It is an arithmetic number, because the mean of its divisors is an integer number (24276560490).

Almost surely, 2^{2045332335402} is an apocalyptic number.

2045332335402 is an abundant number, since it is smaller than the sum of its proper divisors (2615767278678).

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

2045332335402 is a wasteful number, since it uses less digits than its factorization.

2045332335402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2149 (or 2146 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 36.

The spelling of 2045332335402 in words is "two trillion, forty-five billion, three hundred thirty-two million, three hundred thirty-five thousand, four hundred two".