2152550400 has 936 divisors, whose sum is σ = 9726189984. Its totient is φ = 412876800.

The previous prime is 2152550399. The next prime is 2152550417. The reversal of 2152550400 is 40552512.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 165580794 + ... + 165580806.

Almost surely, 2^2152550400 is an apocalyptic number.

2152550400 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 2152550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4863094992).

2152550400 is an abundant number, since it is smaller than the sum of its proper divisors (7573639584).

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

2152550400 is a wasteful number, since it uses less digits than its factorization.

2152550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 2152550400 is about 46395.5859969459. The cubic root of 2152550400 is about 1291.1730211223.

The spelling of 2152550400 in words is "two billion, one hundred fifty-two million, five hundred fifty thousand, four hundred".