2409092840 has 192 divisors, whose sum is σ = 7241918400. Its totient is φ = 711244800.

The previous prime is 2409092839. The next prime is 2409092867. The reversal of 2409092840 is 482909042.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 2409092794 and 2409092803.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 406700 + ... + 412580.

It is an arithmetic number, because the mean of its divisors is an integer number (37718325).

Almost surely, 2^2409092840 is an apocalyptic number.

2409092840 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 2409092840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3620959200).

2409092840 is an abundant number, since it is smaller than the sum of its proper divisors (4832825560).

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

2409092840 is a wasteful number, since it uses less digits than its factorization.

2409092840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5936 (or 5925 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 2409092840 is about 49082.5105307379. The cubic root of 2409092840 is about 1340.5546155943.

The spelling of 2409092840 in words is "two billion, four hundred nine million, ninety-two thousand, eight hundred forty".