2154435200 has 96 divisors (see below), whose sum is σ = 5452268220. Its totient is φ = 840704000.

The previous prime is 2154435191. The next prime is 2154435293. The reversal of 2154435200 is 25344512.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 732736 + 2153702464 = 856^2 + 46408^2 .

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2154435200.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 122990 + ... + 139410.

Almost surely, 2^2154435200 is an apocalyptic number.

2154435200 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 2154435200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2726134110).

2154435200 is an abundant number, since it is smaller than the sum of its proper divisors (3297833020).

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

2154435200 is a wasteful number, since it uses less digits than its factorization.

2154435200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16486 (or 16469 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 2154435200 is about 46415.8938295925. The cubic root of 2154435200 is about 1291.5497669208.

Adding to 2154435200 its reverse (25344512), we get a palindrome (2179779712).

The spelling of 2154435200 in words is "two billion, one hundred fifty-four million, four hundred thirty-five thousand, two hundred".