2002410528 has 96 divisors (see below), whose sum is σ = 5439651840. Its totient is φ = 644302080.

The previous prime is 2002410493. The next prime is 2002410611. The reversal of 2002410528 is 8250142002.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2002410498 and 2002410507.

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, 1841601 + ... + 1842687.

It is an arithmetic number, because the mean of its divisors is an integer number (56663040).

Almost surely, 2^2002410528 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 2002410528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2719825920).

2002410528 is an abundant number, since it is smaller than the sum of its proper divisors (3437241312).

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

2002410528 is a wasteful number, since it uses less digits than its factorization.

2002410528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1750 (or 1742 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 2002410528 is about 44748.3019566106. The cubic root of 2002410528 is about 1260.4270258325.

The spelling of 2002410528 in words is "two billion, two million, four hundred ten thousand, five hundred twenty-eight".