2461002440 has 64 divisors (see below), whose sum is σ = 5980262400. Its totient is φ = 906077952.

The previous prime is 2461002421. The next prime is 2461002449. The reversal of 2461002440 is 442001642.

It is a super-3 number, since 3×2461002440³ (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2461002449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180089 + ... + 193271.

It is an arithmetic number, because the mean of its divisors is an integer number (93441600).

Almost surely, 2^2461002440 is an apocalyptic number.

2461002440 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 2461002440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2990131200).

2461002440 is an abundant number, since it is smaller than the sum of its proper divisors (3519259960).

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

2461002440 is a wasteful number, since it uses less digits than its factorization.

2461002440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13566 (or 13562 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 2461002440 is about 49608.4916118198. The cubic root of 2461002440 is about 1350.1147483624.

The spelling of 2461002440 in words is "two billion, four hundred sixty-one million, two thousand, four hundred forty".