2002210947968 has 256 divisors, whose sum is σ = 5072037834240. Its totient is φ = 764581109760.

The previous prime is 2002210947967. The next prime is 2002210947973. The reversal of 2002210947968 is 8697490122002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002210947967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 975260030 + ... + 975262082.

It is an arithmetic number, because the mean of its divisors is an integer number (19812647790).

Almost surely, 2^{2002210947968} is an apocalyptic number.

2002210947968 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 2002210947968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2536018917120).

2002210947968 is an abundant number, since it is smaller than the sum of its proper divisors (3069826886272).

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

2002210947968 is a wasteful number, since it uses less digits than its factorization.

2002210947968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4005 (or 3993 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 50.

The spelling of 2002210947968 in words is "two trillion, two billion, two hundred ten million, nine hundred forty-seven thousand, nine hundred sixty-eight".