2082583776 has 384 divisors, whose sum is σ = 7335982080. Its totient is φ = 501645312.

The previous prime is 2082583753. The next prime is 2082583777. The reversal of 2082583776 is 6773852802.

It is a super-3 number, since 3×2082583776³ (a number of 29 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2082583777) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5494755 + ... + 5495133.

It is an arithmetic number, because the mean of its divisors is an integer number (19104120).

Almost surely, 2^2082583776 is an apocalyptic number.

2082583776 is a gapful number since it is divisible by the number (26) 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 2082583776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3667991040).

2082583776 is an abundant number, since it is smaller than the sum of its proper divisors (5253398304).

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

2082583776 is a wasteful number, since it uses less digits than its factorization.

2082583776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The square root of 2082583776 is about 45635.3347308859. The cubic root of 2082583776 is about 1277.0291975213.

The spelling of 2082583776 in words is "two billion, eighty-two million, five hundred eighty-three thousand, seven hundred seventy-six".