2424195072 has 288 divisors, whose sum is σ = 7703317440. Its totient is φ = 729907200.

The previous prime is 2424195061. The next prime is 2424195131. The reversal of 2424195072 is 2705914242.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16054197 + ... + 16054347.

It is an arithmetic number, because the mean of its divisors is an integer number (26747630).

Almost surely, 2^2424195072 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 2424195072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3851658720).

2424195072 is an abundant number, since it is smaller than the sum of its proper divisors (5279122368).

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

2424195072 is a wasteful number, since it uses less digits than its factorization.

2424195072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2424195072 is about 49236.1155250899. The cubic root of 2424195072 is about 1343.3500258516.

The spelling of 2424195072 in words is "two billion, four hundred twenty-four million, one hundred ninety-five thousand, seventy-two".