2155624000 has 112 divisors (see below), whose sum is σ = 5430072960. Its totient is φ = 847449600.

The previous prime is 2155623997. The next prime is 2155624001. The reversal of 2155624000 is 4265512.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (2155624001) 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 15 ways as a sum of consecutive naturals, for example, 469717 + ... + 474283.

Almost surely, 2^2155624000 is an apocalyptic number.

2155624000 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 2155624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2715036480).

2155624000 is an abundant number, since it is smaller than the sum of its proper divisors (3274448960).

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

2155624000 is an equidigital number, since it uses as much as digits as its factorization.

2155624000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4653 (or 4633 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 2155624000 is about 46428.6980218054. The cubic root of 2155624000 is about 1291.7872788286.

Adding to 2155624000 its reverse (4265512), we get a palindrome (2159889512).

The spelling of 2155624000 in words is "two billion, one hundred fifty-five million, six hundred twenty-four thousand".