2215065600 has 864 divisors, whose sum is σ = 9505641600. Its totient is φ = 486604800.

The previous prime is 2215065583. The next prime is 2215065607. The reversal of 2215065600 is 65605122.

2215065600 is a `hidden beast` number, since 2 + 2 + 1 + 5 + 0 + 656 + 0 + 0 = 666.

It is a super-2 number, since 2×2215065600² = 9813031224606720000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2215065607) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 96307189 + ... + 96307211.

It is an arithmetic number, because the mean of its divisors is an integer number (11001900).

Almost surely, 2^2215065600 is an apocalyptic number.

2215065600 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 2215065600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4752820800).

2215065600 is an abundant number, since it is smaller than the sum of its proper divisors (7290576000).

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

2215065600 is a wasteful number, since it uses less digits than its factorization.

2215065600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 2215065600 is about 47064.4834243403. The cubic root of 2215065600 is about 1303.5535124400.

The spelling of 2215065600 in words is "two billion, two hundred fifteen million, sixty-five thousand, six hundred".