2442915072 has 288 divisors, whose sum is σ = 8039951360. Its totient is φ = 726589440.

The previous prime is 2442915071. The next prime is 2442915107. The reversal of 2442915072 is 2705192442.

2442915072 is a `hidden beast` number, since 24 + 42 + 91 + 507 + 2 = 666.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2442915071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2785098 + ... + 2785974.

Almost surely, 2^2442915072 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 2442915072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4019975680).

2442915072 is an abundant number, since it is smaller than the sum of its proper divisors (5597036288).

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

2442915072 is a wasteful number, since it uses less digits than its factorization.

2442915072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946 (or 926 counting only the distinct ones).

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

The square root of 2442915072 is about 49425.8542870025. The cubic root of 2442915072 is about 1346.7990136678.

The spelling of 2442915072 in words is "two billion, four hundred forty-two million, nine hundred fifteen thousand, seventy-two".