2002115016 has 128 divisors (see below), whose sum is σ = 6121526400. Its totient is φ = 601251840.

The previous prime is 2002114991. The next prime is 2002115033. The reversal of 2002115016 is 6105112002.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 2002115016.

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, 264760 + ... + 272216.

It is an arithmetic number, because the mean of its divisors is an integer number (47824425).

Almost surely, 2^2002115016 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 2002115016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3060763200).

2002115016 is an abundant number, since it is smaller than the sum of its proper divisors (4119411384).

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

2002115016 is a wasteful number, since it uses less digits than its factorization.

2002115016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7596 (or 7586 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 2002115016 is about 44744.9998994301. Note that the first 3 decimals coincide. The cubic root of 2002115016 is about 1260.3650189612.

Adding to 2002115016 its reverse (6105112002), we get a palindrome (8107227018).

It can be divided in two parts, 2002 and 115016, that multiplied together give a palindrome (230262032).

The spelling of 2002115016 in words is "two billion, two million, one hundred fifteen thousand, sixteen".