2153553600 has 168 divisors, whose sum is σ = 7707953088. Its totient is φ = 522060800.

The previous prime is 2153553599. The next prime is 2153553629. The reversal of 2153553600 is 63553512.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32407 + ... + 73193.

Almost surely, 2^2153553600 is an apocalyptic number.

2153553600 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 2153553600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3853976544).

2153553600 is an abundant number, since it is smaller than the sum of its proper divisors (5554399488).

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

2153553600 is a wasteful number, since it uses less digits than its factorization.

2153553600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40823 (or 40808 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 30.

The square root of 2153553600 is about 46406.3961108811. The cubic root of 2153553600 is about 1291.3735744753.

The spelling of 2153553600 in words is "two billion, one hundred fifty-three million, five hundred fifty-three thousand, six hundred".