2788372512 has 240 divisors, whose sum is σ = 8704856160. Its totient is φ = 876759552.

The previous prime is 2788372511. The next prime is 2788372621. The reversal of 2788372512 is 2152738872.

2788372512 is a `hidden beast` number, since 27 + 88 + 37 + 2 + 512 = 666.

It is not an unprimeable number, because it can be changed into a prime (2788372511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11967148 + ... + 11967380.

It is an arithmetic number, because the mean of its divisors is an integer number (36270234).

Almost surely, 2^2788372512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2788372512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4352428080).

2788372512 is an abundant number, since it is smaller than the sum of its proper divisors (5916483648).

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

2788372512 is an frugal number, since it uses more digits than its factorization.

2788372512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 257 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The square root of 2788372512 is about 52805.0424864899. The cubic root of 2788372512 is about 1407.5060304482.

The spelling of 2788372512 in words is "two billion, seven hundred eighty-eight million, three hundred seventy-two thousand, five hundred twelve".