2409056650890 has 96 divisors (see below), whose sum is σ = 6754017816000. Its totient is φ = 593759773440.

The previous prime is 2409056650879. The next prime is 2409056650901. The reversal of 2409056650890 is 980566509042.

It is a happy number.

2409056650890 is a `hidden beast` number, since 2 + 40 + 9 + 0 + 5 + 6 + 6 + 508 + 90 = 666.

2409056650890 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2409056650879) and next prime (2409056650901).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17110440 + ... + 17250659.

It is an arithmetic number, because the mean of its divisors is an integer number (70354352250).

Almost surely, 2^{2409056650890} is an apocalyptic number.

2409056650890 is an abundant number, since it is smaller than the sum of its proper divisors (4344961165110).

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

2409056650890 is a wasteful number, since it uses less digits than its factorization.

2409056650890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34361172 (or 34361169 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 2409056650890 in words is "two trillion, four hundred nine billion, fifty-six million, six hundred fifty thousand, eight hundred ninety".