2894306688 has 256 divisors, whose sum is σ = 10514649600. Its totient is φ = 763250688.

The previous prime is 2894306621. The next prime is 2894306713. The reversal of 2894306688 is 8866034982.

It is a super-2 number, since 2×2894306688² = 16754022408403058688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 309895 + ... + 319097.

It is an arithmetic number, because the mean of its divisors is an integer number (41072850).

Almost surely, 2^2894306688 is an apocalyptic number.

2894306688 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 2894306688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5257324800).

2894306688 is an abundant number, since it is smaller than the sum of its proper divisors (7620342912).

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

2894306688 is a wasteful number, since it uses less digits than its factorization.

2894306688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9246 (or 9228 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The square root of 2894306688 is about 53798.7610266259. The cubic root of 2894306688 is about 1425.1093279001.

The spelling of 2894306688 in words is "two billion, eight hundred ninety-four million, three hundred six thousand, six hundred eighty-eight".