2460433440 has 96 divisors (see below), whose sum is σ = 7806335040. Its totient is φ = 651377664.

The previous prime is 2460433403. The next prime is 2460433453. The reversal of 2460433440 is 443340642.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2460433398 and 2460433407.

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 15 ways as a sum of consecutive naturals, for example, 48282 + ... + 85158.

It is an arithmetic number, because the mean of its divisors is an integer number (81315990).

Almost surely, 2^2460433440 is an apocalyptic number.

2460433440 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 2460433440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3903167520).

2460433440 is an abundant number, since it is smaller than the sum of its proper divisors (5345901600).

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

2460433440 is a wasteful number, since it uses less digits than its factorization.

2460433440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37034 (or 37026 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

The square root of 2460433440 is about 49602.7563750242. The cubic root of 2460433440 is about 1350.0106885299.

The spelling of 2460433440 in words is "two billion, four hundred sixty million, four hundred thirty-three thousand, four hundred forty".