2812116640 has 72 divisors (see below), whose sum is σ = 6865224660. Its totient is φ = 1088501760.

The previous prime is 2812116617. The next prime is 2812116691. The reversal of 2812116640 is 466112182.

It can be written as a sum of positive squares in 2 ways, for example, as 2622668944 + 189447696 = 51212^2 + 13764^2 .

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 144616 + ... + 162904.

Almost surely, 2^2812116640 is an apocalyptic number.

2812116640 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 2812116640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3432612330).

2812116640 is an abundant number, since it is smaller than the sum of its proper divisors (4053108020).

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

2812116640 is a wasteful number, since it uses less digits than its factorization.

2812116640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18366 (or 18327 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 2812116640 is about 53029.3941130766. The cubic root of 2812116640 is about 1411.4899060834.

The spelling of 2812116640 in words is "two billion, eight hundred twelve million, one hundred sixteen thousand, six hundred forty".