2146363010640 has 160 divisors (see below), whose sum is σ = 7393968541440. Its totient is φ = 572290665984.

The previous prime is 2146363010621. The next prime is 2146363010641. The reversal of 2146363010640 is 460103636412.

2146363010640 is a `hidden beast` number, since 2 + 1 + 4 + 6 + 3 + 6 + 3 + 0 + 1 + 0 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2146363010595 and 2146363010604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2146363010641) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 18134694 + ... + 18252666.

It is an arithmetic number, because the mean of its divisors is an integer number (46212303384).

Almost surely, 2^{2146363010640} is an apocalyptic number.

2146363010640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2146363010640 is an abundant number, since it is smaller than the sum of its proper divisors (5247605530800).

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

2146363010640 is a wasteful number, since it uses less digits than its factorization.

2146363010640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126418 (or 126406 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 2146363010640 in words is "two trillion, one hundred forty-six billion, three hundred sixty-three million, ten thousand, six hundred forty".