2082547656 has 144 divisors (see below), whose sum is σ = 6574364160. Its totient is φ = 583390080.

The previous prime is 2082547633. The next prime is 2082547657. The reversal of 2082547656 is 6567452802.

2082547656 is a `hidden beast` number, since 20 + 82 + 547 + 6 + 5 + 6 = 666.

It is a super-2 number, since 2×2082547656² = 8674009479022188672, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2082547657) 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, 1415001 + ... + 1416471.

Almost surely, 2^2082547656 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 2082547656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3287182080).

2082547656 is an abundant number, since it is smaller than the sum of its proper divisors (4491816504).

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

2082547656 is a wasteful number, since it uses less digits than its factorization.

2082547656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1596 (or 1536 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 2082547656 is about 45634.9389831958. The cubic root of 2082547656 is about 1277.0218146152.

The spelling of 2082547656 in words is "two billion, eighty-two million, five hundred forty-seven thousand, six hundred fifty-six".