2408024640 has 448 divisors, whose sum is σ = 9129369600. Its totient is φ = 537384960.

The previous prime is 2408024623. The next prime is 2408024659. The reversal of 2408024640 is 464208042.

It is a tau number, because it is divible by the number of its divisors (448).

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 = 2408024598 and 2408024607.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 23378829 + ... + 23378931.

Almost surely, 2^2408024640 is an apocalyptic number.

2408024640 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 2408024640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4564684800).

2408024640 is an abundant number, since it is smaller than the sum of its proper divisors (6721344960).

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

2408024640 is a wasteful number, since it uses less digits than its factorization.

2408024640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 2408024640 is about 49071.6276477559. The cubic root of 2408024640 is about 1340.3564508029.

The spelling of 2408024640 in words is "two billion, four hundred eight million, twenty-four thousand, six hundred forty".