2813808000 has 384 divisors, whose sum is σ = 9796381920. Its totient is φ = 714240000.

The previous prime is 2813807993. The next prime is 2813808007. The reversal of 2813808000 is 8083182.

2813808000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2813807993) and next prime (2813808007).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2813808007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46127970 + ... + 46128030.

Almost surely, 2^2813808000 is an apocalyptic number.

2813808000 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 2813808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4898190960).

2813808000 is an abundant number, since it is smaller than the sum of its proper divisors (6982573920).

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

2813808000 is an equidigital number, since it uses as much as digits as its factorization.

2813808000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 2813808000 is about 53045.3390977944. The cubic root of 2813808000 is about 1411.7728316526.

The spelling of 2813808000 in words is "two billion, eight hundred thirteen million, eight hundred eight thousand".