2154532000 has 96 divisors (see below), whose sum is σ = 5347100304. Its totient is φ = 853120000.

The previous prime is 2154531949. The next prime is 2154532019. The reversal of 2154532000 is 2354512.

It can be written as a sum of positive squares in 8 ways, for example, as 1190802064 + 963729936 = 34508^2 + 31044^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 401334 + ... + 406666.

Almost surely, 2^2154532000 is an apocalyptic number.

2154532000 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 2154532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2673550152).

2154532000 is an abundant number, since it is smaller than the sum of its proper divisors (3192568304).

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

2154532000 is a wasteful number, since it uses less digits than its factorization.

2154532000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5459 (or 5441 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 2154532000 is about 46416.9365641465. The cubic root of 2154532000 is about 1291.5691099866.

Adding to 2154532000 its reverse (2354512), we get a palindrome (2156886512).

The spelling of 2154532000 in words is "two billion, one hundred fifty-four million, five hundred thirty-two thousand".