2992228339968 has 216 divisors, whose sum is σ = 9957435249216. Its totient is φ = 846457344000.

The previous prime is 2992228339967. The next prime is 2992228339999. The reversal of 2992228339968 is 8699338222992.

2992228339968 is a `hidden beast` number, since 2 + 9 + 9 + 2 + 228 + 3 + 399 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 2992228339896 and 2992228339905.

It is not an unprimeable number, because it can be changed into a prime (2992228339967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 710463 + ... + 2547393.

Almost surely, 2^{2992228339968} is an apocalyptic number.

2992228339968 is a gapful number since it is divisible by the number (28) 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 2992228339968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4978717624608).

2992228339968 is an abundant number, since it is smaller than the sum of its proper divisors (6965206909248).

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

2992228339968 is a wasteful number, since it uses less digits than its factorization.

2992228339968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1837061 (or 1837044 counting only the distinct ones).

The product of its digits is 362797056, while the sum is 72.

The spelling of 2992228339968 in words is "two trillion, nine hundred ninety-two billion, two hundred twenty-eight million, three hundred thirty-nine thousand, nine hundred sixty-eight".