2153548800 has 396 divisors, whose sum is σ = 8315405280. Its totient is φ = 529367040.

The previous prime is 2153548799. The next prime is 2153548801. The reversal of 2153548800 is 88453512.

It is a happy number.

2153548800 is a `hidden beast` number, since 2 + 1 + 535 + 48 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2153548799) and next prime (2153548801).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2153548801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2994841 + ... + 2995559.

Almost surely, 2^2153548800 is an apocalyptic number.

2153548800 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 2153548800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4157702640).

2153548800 is an abundant number, since it is smaller than the sum of its proper divisors (6161856480).

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

2153548800 is a wasteful number, since it uses less digits than its factorization.

2153548800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 2153548800 is about 46406.3443938434. The cubic root of 2153548800 is about 1291.3726150382.

The spelling of 2153548800 in words is "two billion, one hundred fifty-three million, five hundred forty-eight thousand, eight hundred".