2881838400 has 336 divisors, whose sum is σ = 10885017600. Its totient is φ = 653875200.

The previous prime is 2881838389. The next prime is 2881838411. The reversal of 2881838400 is 48381882.

It is an interprime number because it is at equal distance from previous prime (2881838389) and next prime (2881838411).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6686185 + ... + 6686615.

Almost surely, 2^2881838400 is an apocalyptic number.

2881838400 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 2881838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5442508800).

2881838400 is an abundant number, since it is smaller than the sum of its proper divisors (8003179200).

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

2881838400 is a wasteful number, since it uses less digits than its factorization.

2881838400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 42.

The square root of 2881838400 is about 53682.7570081865. The cubic root of 2881838400 is about 1423.0599885456.

The spelling of 2881838400 in words is "two billion, eight hundred eighty-one million, eight hundred thirty-eight thousand, four hundred".