2894413824 has 180 divisors, whose sum is σ = 8682992864. Its totient is φ = 963477504.

The previous prime is 2894413813. The next prime is 2894413883. The reversal of 2894413824 is 4283144982.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2894413824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3980949 + ... + 3981675.

Almost surely, 2^2894413824 is an apocalyptic number.

2894413824 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 2894413824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4341496432).

2894413824 is an abundant number, since it is smaller than the sum of its proper divisors (5788579040).

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

2894413824 is an frugal number, since it uses more digits than its factorization.

2894413824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 732 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 2894413824 is about 53799.7567280745. The cubic root of 2894413824 is about 1425.1269116885.

The spelling of 2894413824 in words is "two billion, eight hundred ninety-four million, four hundred thirteen thousand, eight hundred twenty-four".