2153210400 has 432 divisors, whose sum is σ = 8559952128. Its totient is φ = 504576000.

The previous prime is 2153210377. The next prime is 2153210401. The reversal of 2153210400 is 40123512.

2153210400 is a `hidden beast` number, since 2 + 1 + 53 + 210 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2153210401) 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, 2454762 + ... + 2455638.

It is an arithmetic number, because the mean of its divisors is an integer number (19814704).

Almost surely, 2^2153210400 is an apocalyptic number.

2153210400 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 2153210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4279976064).

2153210400 is an abundant number, since it is smaller than the sum of its proper divisors (6406741728).

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

2153210400 is a wasteful number, since it uses less digits than its factorization.

2153210400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2153210400 is about 46402.6981974109. The cubic root of 2153210400 is about 1291.3049711281.

Adding to 2153210400 its reverse (40123512), we get a palindrome (2193333912).

The spelling of 2153210400 in words is "two billion, one hundred fifty-three million, two hundred ten thousand, four hundred".