2346528072 has 144 divisors (see below), whose sum is σ = 7000480080. Its totient is φ = 653533440.

The previous prime is 2346528047. The next prime is 2346528077. The reversal of 2346528072 is 2708256432.

2346528072 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2346528072.

It is not an unprimeable number, because it can be changed into a prime (2346528077) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1976263 + ... + 1977449.

It is an arithmetic number, because the mean of its divisors is an integer number (48614445).

Almost surely, 2^2346528072 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 2346528072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3500240040).

2346528072 is an abundant number, since it is smaller than the sum of its proper divisors (4653952008).

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

2346528072 is a wasteful number, since it uses less digits than its factorization.

2346528072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 2346528072 is about 48440.9751346936. The cubic root of 2346528072 is about 1328.8478295018.

The spelling of 2346528072 in words is "two billion, three hundred forty-six million, five hundred twenty-eight thousand, seventy-two".