30442302720 has 108 divisors (see below), whose sum is σ = 105327236196. Its totient is φ = 8117944320.

The previous prime is 30442302719. The next prime is 30442302731. The reversal of 30442302720 is 2720324403.

It can be written as a sum of positive squares in 2 ways, for example, as 23681516544 + 6760786176 = 153888^2 + 82224^2 .

It is a super-2 number, since 2×30442302720² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1309761 + ... + 1332800.

It is an arithmetic number, because the mean of its divisors is an integer number (975252187).

Almost surely, 2^30442302720 is an apocalyptic number.

30442302720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30442302720 is an abundant number, since it is smaller than the sum of its proper divisors (74884933476).

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

30442302720 is a wasteful number, since it uses less digits than its factorization.

30442302720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2642588 (or 2642571 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The spelling of 30442302720 in words is "thirty billion, four hundred forty-two million, three hundred two thousand, seven hundred twenty".