2461121124 has 288 divisors, whose sum is σ = 7619125248. Its totient is φ = 604454400.

The previous prime is 2461121123. The next prime is 2461121147. The reversal of 2461121124 is 4211211642.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2461121094 and 2461121103.

It is not an unprimeable number, because it can be changed into a prime (2461121123) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23001079 + ... + 23001185.

It is an arithmetic number, because the mean of its divisors is an integer number (26455296).

Almost surely, 2^2461121124 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 2461121124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3809562624).

2461121124 is an abundant number, since it is smaller than the sum of its proper divisors (5158004124).

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

2461121124 is a wasteful number, since it uses less digits than its factorization.

2461121124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 234 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 2461121124 is about 49609.6878038957. The cubic root of 2461121124 is about 1350.1364515026.

Adding to 2461121124 its reverse (4211211642), we get a palindrome (6672332766).

The spelling of 2461121124 in words is "two billion, four hundred sixty-one million, one hundred twenty-one thousand, one hundred twenty-four".