2083516820 has 192 divisors, whose sum is σ = 5929943040. Its totient is φ = 595123200.

The previous prime is 2083516819. The next prime is 2083516823. The reversal of 2083516820 is 286153802.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2083516823) 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, 905912 + ... + 908208.

It is an arithmetic number, because the mean of its divisors is an integer number (30885120).

Almost surely, 2^2083516820 is an apocalyptic number.

2083516820 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 2083516820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2964971520).

2083516820 is an abundant number, since it is smaller than the sum of its proper divisors (3846426220).

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

2083516820 is a wasteful number, since it uses less digits than its factorization.

2083516820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2374 (or 2372 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 2083516820 is about 45645.5564102356. The cubic root of 2083516820 is about 1277.2198815721.

The spelling of 2083516820 in words is "two billion, eighty-three million, five hundred sixteen thousand, eight hundred twenty".