2146193729280 has 576 divisors, whose sum is σ = 7976196547200. Its totient is φ = 552562311168.

The previous prime is 2146193729261. The next prime is 2146193729327. The reversal of 2146193729280 is 829273916412.

2146193729280 is a `hidden beast` number, since 2 + 1 + 461 + 93 + 7 + 2 + 92 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×2146193729280² (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 63 ways as a sum of consecutive naturals, for example, 81168222 + ... + 81194658.

It is an arithmetic number, because the mean of its divisors is an integer number (13847563450).

Almost surely, 2^{2146193729280} is an apocalyptic number.

2146193729280 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 2146193729280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3988098273600).

2146193729280 is an abundant number, since it is smaller than the sum of its proper divisors (5830002817920).

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

2146193729280 is an frugal number, since it uses more digits than its factorization.

2146193729280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26508 (or 26476 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 2146193729280 in words is "two trillion, one hundred forty-six billion, one hundred ninety-three million, seven hundred twenty-nine thousand, two hundred eighty".