2812305408 has 224 divisors, whose sum is σ = 8341961472. Its totient is φ = 835584000.

The previous prime is 2812305373. The next prime is 2812305409. The reversal of 2812305408 is 8045032182.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2812305409) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27303885 + ... + 27303987.

Almost surely, 2^2812305408 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 2812305408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4170980736).

2812305408 is an abundant number, since it is smaller than the sum of its proper divisors (5529656064).

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

2812305408 is a wasteful number, since it uses less digits than its factorization.

2812305408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 2812305408 is about 53031.1739262860. The cubic root of 2812305408 is about 1411.5214882449.

The spelling of 2812305408 in words is "two billion, eight hundred twelve million, three hundred five thousand, four hundred eight".