2516165820 has 288 divisors, whose sum is σ = 9337735680. Its totient is φ = 535610880.

The previous prime is 2516165749. The next prime is 2516165857. The reversal of 2516165820 is 285616152.

2516165820 is a `hidden beast` number, since 2 + 516 + 1 + 65 + 82 + 0 = 666.

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, 1459479 + ... + 1461201.

Almost surely, 2^2516165820 is an apocalyptic number.

2516165820 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 2516165820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4668867840).

2516165820 is an abundant number, since it is smaller than the sum of its proper divisors (6821569860).

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

2516165820 is a wasteful number, since it uses less digits than its factorization.

2516165820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1825 (or 1820 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 2516165820 is about 50161.3977077992. The cubic root of 2516165820 is about 1360.1279111238.

The spelling of 2516165820 in words is "two billion, five hundred sixteen million, one hundred sixty-five thousand, eight hundred twenty".