2885838400 has 189 divisors, whose sum is σ = 7639933539. Its totient is φ = 1072680960.

The previous prime is 2885838379. The next prime is 2885838433. The reversal of 2885838400 is 48385882.

It is a happy number.

The square root of 2885838400 is 53720.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 67502656 + 2818335744 = 8216^2 + 53088^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 36529561 + ... + 36529639.

Almost surely, 2^2885838400 is an apocalyptic number.

2885838400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2885838400 is the 53720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2885838400

2885838400 is an abundant number, since it is smaller than the sum of its proper divisors (4754095139).

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

2885838400 is an equidigital number, since it uses as much as digits as its factorization.

2885838400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 46.

The cubic root of 2885838400 is about 1423.7180879459.

The spelling of 2885838400 in words is "two billion, eight hundred eighty-five million, eight hundred thirty-eight thousand, four hundred".