2894289984 has 168 divisors, whose sum is σ = 8906484600. Its totient is φ = 895352832.

The previous prime is 2894289947. The next prime is 2894290013. The reversal of 2894289984 is 4899824982.

It can be written as a sum of positive squares in 4 ways, for example, as 525326400 + 2368963584 = 22920^2 + 48672^2 .

It is a super-2 number, since 2×2894289984² = 16753829022965440512, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 712792 + ... + 716840.

Almost surely, 2^2894289984 is an apocalyptic number.

2894289984 is a gapful number since it is divisible by the number (24) 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 2894289984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4453242300).

2894289984 is an abundant number, since it is smaller than the sum of its proper divisors (6012194616).

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

2894289984 is a wasteful number, since it uses less digits than its factorization.

2894289984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4157 (or 4144 counting only the distinct ones).

The product of its digits is 23887872, while the sum is 63.

The square root of 2894289984 is about 53798.6057811910. The cubic root of 2894289984 is about 1425.1065863026.

The spelling of 2894289984 in words is "two billion, eight hundred ninety-four million, two hundred eighty-nine thousand, nine hundred eighty-four".