2811987360 has 768 divisors, whose sum is σ = 12680478720. Its totient is φ = 565678080.

The previous prime is 2811987329. The next prime is 2811987371. The reversal of 2811987360 is 637891182.

2811987360 is a `hidden beast` number, since 281 + 1 + 9 + 8 + 7 + 360 = 666.

It is a Smith number, since the sum of its digits (45) 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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9041605 + ... + 9041915.

It is an arithmetic number, because the mean of its divisors is an integer number (16511040).

Almost surely, 2^2811987360 is an apocalyptic number.

2811987360 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 2811987360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6340239360).

2811987360 is an abundant number, since it is smaller than the sum of its proper divisors (9868491360).

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

2811987360 is a wasteful number, since it uses less digits than its factorization.

2811987360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 2811987360 is about 53028.1751524602. The cubic root of 2811987360 is about 1411.4682758508.

The spelling of 2811987360 in words is "two billion, eight hundred eleven million, nine hundred eighty-seven thousand, three hundred sixty".