2155507200 has 960 divisors, whose sum is σ = 9985789440. Its totient is φ = 447897600.

The previous prime is 2155507199. The next prime is 2155507201. The reversal of 2155507200 is 27055512.

It is a happy number.

2155507200 is a `hidden beast` number, since 2 + 155 + 507 + 2 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2155507199) and next prime (2155507201).

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×2155507200² = 9292422578503680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2155507201) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 195955195 + ... + 195955205.

It is an arithmetic number, because the mean of its divisors is an integer number (10401864).

Almost surely, 2^2155507200 is an apocalyptic number.

2155507200 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 2155507200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4992894720).

2155507200 is an abundant number, since it is smaller than the sum of its proper divisors (7830282240).

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

2155507200 is an frugal number, since it uses more digits than its factorization.

2155507200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 27.

The square root of 2155507200 is about 46427.4401620421. The cubic root of 2155507200 is about 1291.7639470726.

The spelling of 2155507200 in words is "two billion, one hundred fifty-five million, five hundred seven thousand, two hundred".