2082815784 has 192 divisors, whose sum is σ = 6759417600. Its totient is φ = 566489088.

The previous prime is 2082815771. The next prime is 2082815831. The reversal of 2082815784 is 4875182802.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4091722 + ... + 4092230.

It is an arithmetic number, because the mean of its divisors is an integer number (35205300).

Almost surely, 2^2082815784 is an apocalyptic number.

2082815784 is a gapful number since it is divisible by the number (24) 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 2082815784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3379708800).

2082815784 is an abundant number, since it is smaller than the sum of its proper divisors (4676601816).

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

2082815784 is a wasteful number, since it uses less digits than its factorization.

2082815784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The square root of 2082815784 is about 45637.8766377228. The cubic root of 2082815784 is about 1277.0766177807.

The spelling of 2082815784 in words is "two billion, eighty-two million, eight hundred fifteen thousand, seven hundred eighty-four".