2439824640 has 432 divisors, whose sum is σ = 8808004800. Its totient is φ = 574914560.

The previous prime is 2439824633. The next prime is 2439824657. The reversal of 2439824640 is 464289342.

It is a super-2 number, since 2×2439824640² = 11905488547902259200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2439824592 and 2439824601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27413716 + ... + 27413804.

It is an arithmetic number, because the mean of its divisors is an integer number (20388900).

Almost surely, 2^2439824640 is an apocalyptic number.

2439824640 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 2439824640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4404002400).

2439824640 is an abundant number, since it is smaller than the sum of its proper divisors (6368180160).

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

2439824640 is a wasteful number, since it uses less digits than its factorization.

2439824640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The square root of 2439824640 is about 49394.5810793046. The cubic root of 2439824640 is about 1346.2308472190.

The spelling of 2439824640 in words is "two billion, four hundred thirty-nine million, eight hundred twenty-four thousand, six hundred forty".