2215200310400 has 1152 divisors, whose sum is σ = 7302072369600. Its totient is φ = 655699968000.

The previous prime is 2215200310357. The next prime is 2215200310409. The reversal of 2215200310400 is 40130025122.

It is a super-2 number, since 2×2215200310400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2215200310409) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 3351286070 + ... + 3351286730.

Almost surely, 2^{2215200310400} is an apocalyptic number.

2215200310400 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 2215200310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3651036184800).

2215200310400 is an abundant number, since it is smaller than the sum of its proper divisors (5086872059200).

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

2215200310400 is a wasteful number, since it uses less digits than its factorization.

2215200310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 2215200310400 its reverse (40130025122), we get a palindrome (2255330335522).

The spelling of 2215200310400 in words is "two trillion, two hundred fifteen billion, two hundred million, three hundred ten thousand, four hundred".