2120025600 has 720 divisors, whose sum is σ = 9498677760. Its totient is φ = 438681600.

The previous prime is 2120025571. The next prime is 2120025623. The reversal of 2120025600 is 65200212.

2120025600 is a `hidden beast` number, since 21 + 20 + 0 + 25 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 71 ways as a sum of consecutive naturals, for example, 8870281 + ... + 8870519.

It is an arithmetic number, because the mean of its divisors is an integer number (13192608).

Almost surely, 2^2120025600 is an apocalyptic number.

2120025600 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 2120025600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4749338880).

2120025600 is an abundant number, since it is smaller than the sum of its proper divisors (7378652160).

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

2120025600 is a wasteful number, since it uses less digits than its factorization.

2120025600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2120025600 is about 46043.7357302815. The cubic root of 2120025600 is about 1284.6368285361.

Adding to 2120025600 its reverse (65200212), we get a palindrome (2185225812).

The spelling of 2120025600 in words is "two billion, one hundred twenty million, twenty-five thousand, six hundred".