2082669456 has 160 divisors (see below), whose sum is σ = 6670073088. Its totient is φ = 546324480.

The previous prime is 2082669451. The next prime is 2082669461. The reversal of 2082669456 is 6549662802.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2082669451) and next prime (2082669461).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2082669451) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 229746 + ... + 238638.

Almost surely, 2^2082669456 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 2082669456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3335036544).

2082669456 is an abundant number, since it is smaller than the sum of its proper divisors (4587403632).

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

2082669456 is a wasteful number, since it uses less digits than its factorization.

2082669456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8969 (or 8963 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The square root of 2082669456 is about 45636.2734674951. The cubic root of 2082669456 is about 1277.0467101199.

The spelling of 2082669456 in words is "two billion, eighty-two million, six hundred sixty-nine thousand, four hundred fifty-six".