2002111776 has 432 divisors, whose sum is σ = 7223942880. Its totient is φ = 537788160.

The previous prime is 2002111763. The next prime is 2002111817. The reversal of 2002111776 is 6771112002.

It is a tau number, because it is divible by the number of its divisors (432).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15283231 + ... + 15283361.

It is an arithmetic number, because the mean of its divisors is an integer number (16722090).

Almost surely, 2^2002111776 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 2002111776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3611971440).

2002111776 is an abundant number, since it is smaller than the sum of its proper divisors (5221831104).

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

2002111776 is a wasteful number, since it uses less digits than its factorization.

2002111776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 2002111776 is about 44744.9636942528. The cubic root of 2002111776 is about 1260.3643390827.

Adding to 2002111776 its reverse (6771112002), we get a palindrome (8773223778).

The spelling of 2002111776 in words is "two billion, two million, one hundred eleven thousand, seven hundred seventy-six".