2461111380 has 288 divisors, whose sum is σ = 9235908864. Its totient is φ = 516575232.

The previous prime is 2461111349. The next prime is 2461111417. The reversal of 2461111380 is 831111642.

It is a happy number.

2461111380 is a `hidden beast` number, since 2 + 4 + 611 + 11 + 38 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5683644 + ... + 5684076.

It is an arithmetic number, because the mean of its divisors is an integer number (32069128).

Almost surely, 2^2461111380 is an apocalyptic number.

2461111380 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 2461111380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4617954432).

2461111380 is an abundant number, since it is smaller than the sum of its proper divisors (6774797484).

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

2461111380 is a wasteful number, since it uses less digits than its factorization.

2461111380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 2461111380 is about 49609.5895971736. The cubic root of 2461111380 is about 1350.1346696931.

The spelling of 2461111380 in words is "two billion, four hundred sixty-one million, one hundred eleven thousand, three hundred eighty".