2812981248 has 312 divisors, whose sum is σ = 10140589056. Its totient is φ = 729907200.

The previous prime is 2812981247. The next prime is 2812981253. The reversal of 2812981248 is 8421892182.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2812981247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2838033 + ... + 2839023.

It is an arithmetic number, because the mean of its divisors is an integer number (32501888).

Almost surely, 2^2812981248 is an apocalyptic number.

2812981248 is a gapful number since it is divisible by the number (28) 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 2812981248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5070294528).

2812981248 is an abundant number, since it is smaller than the sum of its proper divisors (7327607808).

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

2812981248 is a wasteful number, since it uses less digits than its factorization.

2812981248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1039 (or 1014 counting only the distinct ones).

The product of its digits is 147456, while the sum is 45.

The square root of 2812981248 is about 53037.5456445715. The cubic root of 2812981248 is about 1411.6345492556.

The spelling of 2812981248 in words is "two billion, eight hundred twelve million, nine hundred eighty-one thousand, two hundred forty-eight".