2409359040 has 448 divisors, whose sum is σ = 9401495040. Its totient is φ = 576000000.

The previous prime is 2409359039. The next prime is 2409359077. The reversal of 2409359040 is 409539042.

2409359040 is a `hidden beast` number, since 24 + 0 + 9 + 3 + 590 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2409358986 and 2409359004.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 9598915 + ... + 9599165.

It is an arithmetic number, because the mean of its divisors is an integer number (20985480).

Almost surely, 2^2409359040 is an apocalyptic number.

2409359040 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 2409359040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4700747520).

2409359040 is an abundant number, since it is smaller than the sum of its proper divisors (6992136000).

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

2409359040 is a wasteful number, since it uses less digits than its factorization.

2409359040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 2409359040 is about 49085.2222160601. Note that the first 4 decimals coincide. The cubic root of 2409359040 is about 1340.6039899881.

The spelling of 2409359040 in words is "two billion, four hundred nine million, three hundred fifty-nine thousand, forty".