2881382400 has 648 divisors, whose sum is σ = 11476081890. Its totient is φ = 690094080.

The previous prime is 2881382393. The next prime is 2881382401. The reversal of 2881382400 is 42831882.

It is a happy number.

2881382400 is a `hidden beast` number, since 288 + 138 + 240 + 0 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 22127616 + 2859254784 = 4704^2 + 53472^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2881382401) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 77875182 + ... + 77875218.

Almost surely, 2^2881382400 is an apocalyptic number.

2881382400 is a gapful number since it is divisible by the number (20) 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 2881382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5738040945).

2881382400 is an abundant number, since it is smaller than the sum of its proper divisors (8594699490).

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

2881382400 is a wasteful number, since it uses less digits than its factorization.

2881382400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 2881382400 is about 53678.5096663460. The cubic root of 2881382400 is about 1422.9849265546.

The spelling of 2881382400 in words is "two billion, eight hundred eighty-one million, three hundred eighty-two thousand, four hundred".