2215216407320 has 128 divisors (see below), whose sum is σ = 5952778352640. Its totient is φ = 725400023040.

The previous prime is 2215216407317. The next prime is 2215216407337. The reversal of 2215216407320 is 237046125122.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4078565 + ... + 4589675.

It is an arithmetic number, because the mean of its divisors is an integer number (46506080880).

Almost surely, 2^{2215216407320} is an apocalyptic number.

2215216407320 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 2215216407320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2976389176320).

2215216407320 is an abundant number, since it is smaller than the sum of its proper divisors (3737561945320).

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

2215216407320 is a wasteful number, since it uses less digits than its factorization.

2215216407320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511825 (or 511821 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The spelling of 2215216407320 in words is "two trillion, two hundred fifteen billion, two hundred sixteen million, four hundred seven thousand, three hundred twenty".