2164145314040 has 32 divisors (see below), whose sum is σ = 4871080655280. Its totient is φ = 865346356992.

The previous prime is 2164145314021. The next prime is 2164145314063. The reversal of 2164145314040 is 404135414612.

It is a super-2 number, since 2×2164145314040² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9630302 + ... + 9852461.

Almost surely, 2^{2164145314040} is an apocalyptic number.

2164145314040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2164145314040 is an abundant number, since it is smaller than the sum of its proper divisors (2706935341240).

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

2164145314040 is a wasteful number, since it uses less digits than its factorization.

2164145314040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19485551 (or 19485547 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The spelling of 2164145314040 in words is "two trillion, one hundred sixty-four billion, one hundred forty-five million, three hundred fourteen thousand, forty".