2816920400 has 480 divisors, whose sum is σ = 8927428608. Its totient is φ = 831283200.

The previous prime is 2816920357. The next prime is 2816920427. The reversal of 2816920400 is 40296182.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33938759 + ... + 33938841.

Almost surely, 2^2816920400 is an apocalyptic number.

2816920400 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 2816920400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4463714304).

2816920400 is an abundant number, since it is smaller than the sum of its proper divisors (6110508208).

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

2816920400 is a wasteful number, since it uses less digits than its factorization.

2816920400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 2816920400 is about 53074.6681572292. The cubic root of 2816920400 is about 1412.2931683473.

The spelling of 2816920400 in words is "two billion, eight hundred sixteen million, nine hundred twenty thousand, four hundred".