2154451200 has 324 divisors, whose sum is σ = 7834071504. Its totient is φ = 517120000.

The previous prime is 2154451181. The next prime is 2154451223. The reversal of 2154451200 is 21544512.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21331150 + ... + 21331250.

Almost surely, 2^2154451200 is an apocalyptic number.

2154451200 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 2154451200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3917035752).

2154451200 is an abundant number, since it is smaller than the sum of its proper divisors (5679620304).

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

2154451200 is a wasteful number, since it uses less digits than its factorization.

2154451200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 2154451200 is about 46416.0661840273. The cubic root of 2154451200 is about 1291.5529641617.

Adding to 2154451200 its reverse (21544512), we get a palindrome (2175995712).

2154451200 divided by its reverse (21544512) gives a square (100 = 10²).

It can be divided in two parts, 2154 and 451200, that added together give a palindrome (453354).

The spelling of 2154451200 in words is "two billion, one hundred fifty-four million, four hundred fifty-one thousand, two hundred".