2671922792448 has 768 divisors, whose sum is σ = 10254456576000. Its totient is φ = 667570470912.

The previous prime is 2671922792447. The next prime is 2671922792449. The reversal of 2671922792448 is 8442972291762.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2671922792447) and next prime (2671922792449).

It is a tau number, because it is divible by the number of its divisors (768).

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 (2671922792447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 95592811 + ... + 95620757.

It is an arithmetic number, because the mean of its divisors is an integer number (13352157000).

Almost surely, 2^{2671922792448} is an apocalyptic number.

2671922792448 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 2671922792448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5127228288000).

2671922792448 is an abundant number, since it is smaller than the sum of its proper divisors (7582533783552).

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

2671922792448 is a wasteful number, since it uses less digits than its factorization.

2671922792448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28017 (or 27991 counting only the distinct ones).

The product of its digits is 48771072, while the sum is 63.

The spelling of 2671922792448 in words is "two trillion, six hundred seventy-one billion, nine hundred twenty-two million, seven hundred ninety-two thousand, four hundred forty-eight".