2411211120 has 120 divisors (see below), whose sum is σ = 7585319568. Its totient is φ = 633615360.

The previous prime is 2411211113. The next prime is 2411211137. The reversal of 2411211120 is 211121142.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2411211120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1208844 + ... + 1210836.

Almost surely, 2^2411211120 is an apocalyptic number.

2411211120 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 2411211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3792659784).

2411211120 is an abundant number, since it is smaller than the sum of its proper divisors (5174108448).

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

2411211120 is a wasteful number, since it uses less digits than its factorization.

2411211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2151 (or 2074 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 2411211120 is about 49104.0845551569. The cubic root of 2411211120 is about 1340.9474104944.

Adding to 2411211120 its reverse (211121142), we get a palindrome (2622332262).

It can be divided in two parts, 2411 and 211120, that added together give a triangular number (213531 = T₆₅₃).

The spelling of 2411211120 in words is "two billion, four hundred eleven million, two hundred eleven thousand, one hundred twenty".