2153563200 has 504 divisors, whose sum is σ = 8254471680. Its totient is φ = 551577600.

The previous prime is 2153563199. The next prime is 2153563201. The reversal of 2153563200 is 23653512.

2153563200 is a `hidden beast` number, since 21 + 5 + 3 + 5 + 632 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2153563199) and next prime (2153563201).

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

It is not an unprimeable number, because it can be changed into a prime (2153563201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11275105 + ... + 11275295.

It is an arithmetic number, because the mean of its divisors is an integer number (16377920).

Almost surely, 2^2153563200 is an apocalyptic number.

2153563200 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 2153563200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4127235840).

2153563200 is an abundant number, since it is smaller than the sum of its proper divisors (6100908480).

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

2153563200 is a wasteful number, since it uses less digits than its factorization.

2153563200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 2153563200 is about 46406.4995447836. The cubic root of 2153563200 is about 1291.3754933452.

The spelling of 2153563200 in words is "two billion, one hundred fifty-three million, five hundred sixty-three thousand, two hundred".