2002311120 has 80 divisors (see below), whose sum is σ = 6229779840. Its totient is φ = 532004352.

The previous prime is 2002311107. The next prime is 2002311121. The reversal of 2002311120 is 211132002.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2002311096 and 2002311105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002311121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51421 + ... + 81539.

It is an arithmetic number, because the mean of its divisors is an integer number (77872248).

Almost surely, 2^2002311120 is an apocalyptic number.

2002311120 is a gapful number since it is divisible by the number (20) 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 2002311120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3114889920).

2002311120 is an abundant number, since it is smaller than the sum of its proper divisors (4227468720).

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

2002311120 is a wasteful number, since it uses less digits than its factorization.

2002311120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30412 (or 30406 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2002311120 is about 44747.1911967668. The cubic root of 2002311120 is about 1260.4061678713.

Adding to 2002311120 its reverse (211132002), we get a palindrome (2213443122).

The spelling of 2002311120 in words is "two billion, two million, three hundred eleven thousand, one hundred twenty".