2082512916 has 288 divisors, whose sum is σ = 6308929536. Its totient is φ = 594864000.

The previous prime is 2082512863. The next prime is 2082512923. The reversal of 2082512916 is 6192152802.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20218521 + ... + 20218623.

Almost surely, 2^2082512916 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 2082512916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3154464768).

2082512916 is an abundant number, since it is smaller than the sum of its proper divisors (4226416620).

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

2082512916 is a wasteful number, since it uses less digits than its factorization.

2082512916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 2082512916 is about 45634.5583521962. The cubic root of 2082512916 is about 1277.0147136997.

The spelling of 2082512916 in words is "two billion, eighty-two million, five hundred twelve thousand, nine hundred sixteen".