2142798307776 has 672 divisors, whose sum is σ = 7770919403520. Its totient is φ = 571797273600.

The previous prime is 2142798307759. The next prime is 2142798307799. The reversal of 2142798307776 is 6777038972412.

2142798307776 is a `hidden beast` number, since 21 + 427 + 98 + 30 + 7 + 7 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 146850241 + ... + 146864831.

It is an arithmetic number, because the mean of its divisors is an integer number (11563868160).

Almost surely, 2^{2142798307776} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2142798307776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3885459701760).

2142798307776 is an abundant number, since it is smaller than the sum of its proper divisors (5628121095744).

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

2142798307776 is a wasteful number, since it uses less digits than its factorization.

2142798307776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14715 (or 14693 counting only the distinct ones).

The product of its (nonzero) digits is 49787136, while the sum is 63.

The spelling of 2142798307776 in words is "two trillion, one hundred forty-two billion, seven hundred ninety-eight million, three hundred seven thousand, seven hundred seventy-six".