2002950362688 has 224 divisors, whose sum is σ = 5888162488320. Its totient is φ = 595760855040.

The previous prime is 2002950362669. The next prime is 2002950362729. The reversal of 2002950362688 is 8862630592002.

It is a super-3 number, since 3×2002950362688³ (a number of 38 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2002950362688.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84347745 + ... + 84371487.

It is an arithmetic number, because the mean of its divisors is an integer number (26286439680).

Almost surely, 2^{2002950362688} 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 2002950362688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2944081244160).

2002950362688 is an abundant number, since it is smaller than the sum of its proper divisors (3885212125632).

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

2002950362688 is a wasteful number, since it uses less digits than its factorization.

2002950362688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24505 (or 24495 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 2002950362688 in words is "two trillion, two billion, nine hundred fifty million, three hundred sixty-two thousand, six hundred eighty-eight".