2894658816 has 288 divisors, whose sum is σ = 9819048960. Its totient is φ = 736985088.

The previous prime is 2894658787. The next prime is 2894658841. The reversal of 2894658816 is 6188564982.

It is a happy number.

It is a super-2 number, since 2×2894658816² = 16758099322093043712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

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, 1735615 + ... + 1737281.

It is an arithmetic number, because the mean of its divisors is an integer number (34093920).

Almost surely, 2^2894658816 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 2894658816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4909524480).

2894658816 is an abundant number, since it is smaller than the sum of its proper divisors (6924390144).

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

2894658816 is a wasteful number, since it uses less digits than its factorization.

2894658816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1729 (or 1715 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 57.

The square root of 2894658816 is about 53802.0335675149. The cubic root of 2894658816 is about 1425.1671195813.

The spelling of 2894658816 in words is "two billion, eight hundred ninety-four million, six hundred fifty-eight thousand, eight hundred sixteen".