2002086722448 has 480 divisors, whose sum is σ = 6163416230400. Its totient is φ = 604551112704.

The previous prime is 2002086722437. The next prime is 2002086722459. The reversal of 2002086722448 is 8442276802002.

It is an interprime number because it is at equal distance from previous prime (2002086722437) and next prime (2002086722459).

It is a super-2 number, since 2×2002086722448² (a number of 25 digits) contains 22 as substring.

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, 1120361011 + ... + 1120362797.

It is an arithmetic number, because the mean of its divisors is an integer number (12840450480).

Almost surely, 2^{2002086722448} 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 2002086722448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3081708115200).

2002086722448 is an abundant number, since it is smaller than the sum of its proper divisors (4161329507952).

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

2002086722448 is a wasteful number, since it uses less digits than its factorization.

2002086722448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2059 (or 2050 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 2002086722448 in words is "two trillion, two billion, eighty-six million, seven hundred twenty-two thousand, four hundred forty-eight".