2812086720 has 560 divisors, whose sum is σ = 10754441280. Its totient is φ = 695844864.

The previous prime is 2812086713. The next prime is 2812086731. The reversal of 2812086720 is 276802182.

It is a happy number.

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 79 ways as a sum of consecutive naturals, for example, 31596436 + ... + 31596524.

Almost surely, 2^2812086720 is an apocalyptic number.

2812086720 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 2812086720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5377220640).

2812086720 is an abundant number, since it is smaller than the sum of its proper divisors (7942354560).

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

2812086720 is a wasteful number, since it uses less digits than its factorization.

2812086720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 2812086720 is about 53029.1120046338. The cubic root of 2812086720 is about 1411.4849001356.

The spelling of 2812086720 in words is "two billion, eight hundred twelve million, eighty-six thousand, seven hundred twenty".