2146750285680 has 3840 divisors, whose sum is σ = 10755211622400. Its totient is φ = 386266890240.

The previous prime is 2146750285637. The next prime is 2146750285721. The reversal of 2146750285680 is 865820576412.

2146750285680 is a `hidden beast` number, since 2 + 1 + 4 + 6 + 7 + 50 + 28 + 568 + 0 = 666.

It is a super-2 number, since 2×2146750285680² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 29407538124 + ... + 29407538196.

It is an arithmetic number, because the mean of its divisors is an integer number (2800836360).

Almost surely, 2^{2146750285680} is an apocalyptic number.

2146750285680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2146750285680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5377605811200).

2146750285680 is an abundant number, since it is smaller than the sum of its proper divisors (8608461336720).

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

2146750285680 is a wasteful number, since it uses less digits than its factorization.

2146750285680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 2146750285680 in words is "two trillion, one hundred forty-six billion, seven hundred fifty million, two hundred eighty-five thousand, six hundred eighty".