30944600240 has 80 divisors (see below), whose sum is σ = 73111320576. Its totient is φ = 12178118400.

The previous prime is 30944600237. The next prime is 30944600261. The reversal of 30944600240 is 4200644903.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 30944600197 and 30944600206.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2851625 + ... + 2862455.

Almost surely, 2^30944600240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30944600240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36555660288).

30944600240 is an abundant number, since it is smaller than the sum of its proper divisors (42166720336).

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

30944600240 is a wasteful number, since it uses less digits than its factorization.

30944600240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11418 (or 11412 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The spelling of 30944600240 in words is "thirty billion, nine hundred forty-four million, six hundred thousand, two hundred forty".