2082257632 has 96 divisors (see below), whose sum is σ = 5061353472. Its totient is φ = 821159424.

The previous prime is 2082257627. The next prime is 2082257641. The reversal of 2082257632 is 2367522802.

It is a junction number, because it is equal to n+sod(n) for n = 2082257591 and 2082257600.

It is a congruent number.

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, 1114363 + ... + 1116229.

It is an arithmetic number, because the mean of its divisors is an integer number (52722432).

Almost surely, 2^2082257632 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 2082257632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2530676736).

2082257632 is an abundant number, since it is smaller than the sum of its proper divisors (2979095840).

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

2082257632 is a wasteful number, since it uses less digits than its factorization.

2082257632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2280 (or 2272 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The square root of 2082257632 is about 45631.7612195716. The cubic root of 2082257632 is about 1276.9625307907.

The spelling of 2082257632 in words is "two billion, eighty-two million, two hundred fifty-seven thousand, six hundred thirty-two".