2211312011004 has 288 divisors, whose sum is σ = 5921755840000. Its totient is φ = 721437062400.

The previous prime is 2211312010979. The next prime is 2211312011039. The reversal of 2211312011004 is 4001102131122.

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

It is a congruent number.

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, 4431486747 + ... + 4431487245.

Almost surely, 2^{2211312011004} 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 2211312011004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2960877920000).

2211312011004 is an abundant number, since it is smaller than the sum of its proper divisors (3710443828996).

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

2211312011004 is a wasteful number, since it uses less digits than its factorization.

2211312011004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 2211312011004 its reverse (4001102131122), we get a palindrome (6212414142126).

The spelling of 2211312011004 in words is "two trillion, two hundred eleven billion, three hundred twelve million, eleven thousand, four".