2816402400 has 540 divisors, whose sum is σ = 11961218808. Its totient is φ = 643023360.

The previous prime is 2816402399. The next prime is 2816402431. The reversal of 2816402400 is 42046182.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 3174757 + ... + 3175643.

Almost surely, 2^2816402400 is an apocalyptic number.

2816402400 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 2816402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5980609404).

2816402400 is an abundant number, since it is smaller than the sum of its proper divisors (9144816408).

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

2816402400 is a wasteful number, since it uses less digits than its factorization.

2816402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2816402400 is about 53069.7880154048. The cubic root of 2816402400 is about 1412.2065947605.

Adding to 2816402400 its reverse (42046182), we get a palindrome (2858448582).

The spelling of 2816402400 in words is "two billion, eight hundred sixteen million, four hundred two thousand, four hundred".