2182048735776 has 768 divisors, whose sum is σ = 7702216704000. Its totient is φ = 524712038400.

The previous prime is 2182048735759. The next prime is 2182048735777. The reversal of 2182048735776 is 6775378402812.

It is a super-2 number, since 2×2182048735776² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2182048735777) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1023954231 + ... + 1023956361.

It is an arithmetic number, because the mean of its divisors is an integer number (10028928000).

Almost surely, 2^{2182048735776} is an apocalyptic number.

2182048735776 is a gapful number since it is divisible by the number (26) 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 2182048735776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3851108352000).

2182048735776 is an abundant number, since it is smaller than the sum of its proper divisors (5520167968224).

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

2182048735776 is a wasteful number, since it uses less digits than its factorization.

2182048735776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2413 (or 2405 counting only the distinct ones).

The product of its (nonzero) digits is 31610880, while the sum is 60.

The spelling of 2182048735776 in words is "two trillion, one hundred eighty-two billion, forty-eight million, seven hundred thirty-five thousand, seven hundred seventy-six".