2461307240 has 96 divisors (see below), whose sum is σ = 6499689480. Its totient is φ = 836333568.

The previous prime is 2461307237. The next prime is 2461307269. The reversal of 2461307240 is 427031642.

It can be written as a sum of positive squares in 4 ways, for example, as 412658596 + 2048648644 = 20314^2 + 45262^2 .

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 23 ways as a sum of consecutive naturals, for example, 215924 + ... + 227036.

Almost surely, 2^2461307240 is an apocalyptic number.

2461307240 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 2461307240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3249844740).

2461307240 is an abundant number, since it is smaller than the sum of its proper divisors (4038382240).

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

2461307240 is a wasteful number, since it uses less digits than its factorization.

2461307240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11251 (or 11240 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 2461307240 is about 49611.5635714094. The cubic root of 2461307240 is about 1350.1704841852.

Adding to 2461307240 its reverse (427031642), we get a palindrome (2888338882).

The spelling of 2461307240 in words is "two billion, four hundred sixty-one million, three hundred seven thousand, two hundred forty".