2215256248800 has 1296 divisors, whose sum is σ = 9247991184432. Its totient is φ = 497464934400.

The previous prime is 2215256248753. The next prime is 2215256248801. The reversal of 2215256248800 is 88426525122.

2215256248800 is a `hidden beast` number, since 2 + 2 + 1 + 5 + 2 + 562 + 4 + 8 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2215256248801) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 7215818247 + ... + 7215818553.

It is an arithmetic number, because the mean of its divisors is an integer number (7135795667).

Almost surely, 2^{2215256248800} is an apocalyptic number.

2215256248800 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 2215256248800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4623995592216).

2215256248800 is an abundant number, since it is smaller than the sum of its proper divisors (7032734935632).

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

2215256248800 is a wasteful number, since it uses less digits than its factorization.

2215256248800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 2215256248800 in words is "two trillion, two hundred fifteen billion, two hundred fifty-six million, two hundred forty-eight thousand, eight hundred".