2215116800 has 180 divisors, whose sum is σ = 5948565975. Its totient is φ = 817889280.

The previous prime is 2215116797. The next prime is 2215116803. The reversal of 2215116800 is 86115122.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (2215116797) and next prime (2215116803).

It can be written as a sum of positive squares in 5 ways, for example, as 138674176 + 2076442624 = 11776^2 + 45568^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=33280.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 2215116800.

It is not an unprimeable number, because it can be changed into a prime (2215116803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 170393594 + ... + 170393606.

Almost surely, 2^2215116800 is an apocalyptic number.

2215116800 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 2215116800

2215116800 is an abundant number, since it is smaller than the sum of its proper divisors (3733449175).

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

2215116800 is an frugal number, since it uses more digits than its factorization.

2215116800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 26.

The square root of 2215116800 is about 47065.0273557766. The cubic root of 2215116800 is about 1303.5635559989.

The spelling of 2215116800 in words is "two billion, two hundred fifteen million, one hundred sixteen thousand, eight hundred".