2882363676192 has 1152 divisors, whose sum is σ = 11248465213440. Its totient is φ = 679990671360.

The previous prime is 2882363676161. The next prime is 2882363676197. The reversal of 2882363676192 is 2916763632882.

It is a happy number.

2882363676192 is a `hidden beast` number, since 2 + 8 + 8 + 2 + 3 + 6 + 3 + 6 + 7 + 619 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2882363676197) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3264284583 + ... + 3264285465.

It is an arithmetic number, because the mean of its divisors is an integer number (9764292720).

Almost surely, 2^{2882363676192} is an apocalyptic number.

2882363676192 is a gapful number since it is divisible by the number (22) 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 2882363676192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5624232606720).

2882363676192 is an abundant number, since it is smaller than the sum of its proper divisors (8366101537248).

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

2882363676192 is a wasteful number, since it uses less digits than its factorization.

2882363676192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023 (or 986 counting only the distinct ones).

The product of its digits is 62705664, while the sum is 63.

The spelling of 2882363676192 in words is "two trillion, eight hundred eighty-two billion, three hundred sixty-three million, six hundred seventy-six thousand, one hundred ninety-two".