2082564000 has 384 divisors, whose sum is σ = 8274389760. Its totient is φ = 504576000.

The previous prime is 2082563999. The next prime is 2082564013. The reversal of 2082564000 is 4652802.

2082564000 is a `hidden beast` number, since 2 + 0 + 8 + 256 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1187124 + ... + 1188876.

It is an arithmetic number, because the mean of its divisors is an integer number (21547890).

Almost surely, 2^2082564000 is an apocalyptic number.

2082564000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2082564000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4137194880).

2082564000 is an abundant number, since it is smaller than the sum of its proper divisors (6191825760).

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

2082564000 is a wasteful number, since it uses less digits than its factorization.

2082564000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1798 (or 1774 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2082564000 is about 45635.1180561637. The cubic root of 2082564000 is about 1277.0251553295.

The spelling of 2082564000 in words is "two billion, eighty-two million, five hundred sixty-four thousand".