2152578400 has 144 divisors (see below), whose sum is σ = 6322095360. Its totient is φ = 699148800.

The previous prime is 2152578391. The next prime is 2152578443. The reversal of 2152578400 is 48752512.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96285 + ... + 116515.

It is an arithmetic number, because the mean of its divisors is an integer number (43903440).

Almost surely, 2^2152578400 is an apocalyptic number.

2152578400 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 2152578400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3161047680).

2152578400 is an abundant number, since it is smaller than the sum of its proper divisors (4169516960).

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

2152578400 is a wasteful number, since it uses less digits than its factorization.

2152578400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20277 (or 20264 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 34.

The square root of 2152578400 is about 46395.8877488081. The cubic root of 2152578400 is about 1291.1786195492.

The spelling of 2152578400 in words is "two billion, one hundred fifty-two million, five hundred seventy-eight thousand, four hundred".