2409940950240 has 48 divisors (see below), whose sum is σ = 7591313994768. Its totient is φ = 642650919936.

The previous prime is 2409940950167. The next prime is 2409940950257. The reversal of 2409940950240 is 420590499042.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2409940950240.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 2510354677 + ... + 2510355636.

It is an arithmetic number, because the mean of its divisors is an integer number (158152374891).

Almost surely, 2^{2409940950240} is an apocalyptic number.

2409940950240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2409940950240 is an abundant number, since it is smaller than the sum of its proper divisors (5181373044528).

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

2409940950240 is a wasteful number, since it uses less digits than its factorization.

2409940950240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5020710331 (or 5020710323 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 2409940950240 in words is "two trillion, four hundred nine billion, nine hundred forty million, nine hundred fifty thousand, two hundred forty".