2461181140 has 144 divisors (see below), whose sum is σ = 5984616960. Its totient is φ = 848390400.

The previous prime is 2461181113. The next prime is 2461181143. The reversal of 2461181140 is 411811642.

It is a junction number, because it is equal to n+sod(n) for n = 2461181099 and 2461181108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2461181143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3975751 + ... + 3976369.

It is an arithmetic number, because the mean of its divisors is an integer number (41559840).

Almost surely, 2^2461181140 is an apocalyptic number.

2461181140 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 2461181140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2992308480).

2461181140 is an abundant number, since it is smaller than the sum of its proper divisors (3523435820).

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

2461181140 is a wasteful number, since it uses less digits than its factorization.

2461181140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 2461181140 is about 49610.2926820635. The cubic root of 2461181140 is about 1350.1474260580.

Adding to 2461181140 its reverse (411811642), we get a palindrome (2872992782).

The spelling of 2461181140 in words is "two billion, four hundred sixty-one million, one hundred eighty-one thousand, one hundred forty".