2215437648480 has 432 divisors, whose sum is σ = 8972096384160. Its totient is φ = 506384068608.

The previous prime is 2215437648467. The next prime is 2215437648493. The reversal of 2215437648480 is 848467345122.

2215437648480 is a `hidden beast` number, since 2 + 2 + 1 + 54 + 3 + 76 + 48 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (2215437648467) and next prime (2215437648493).

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7197576 + ... + 7499064.

It is an arithmetic number, because the mean of its divisors is an integer number (20768741630).

Almost surely, 2^{2215437648480} is an apocalyptic number.

2215437648480 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 2215437648480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4486048192080).

2215437648480 is an abundant number, since it is smaller than the sum of its proper divisors (6756658735680).

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

2215437648480 is an frugal number, since it uses more digits than its factorization.

2215437648480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301535 (or 301506 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 2215437648480 in words is "two trillion, two hundred fifteen billion, four hundred thirty-seven million, six hundred forty-eight thousand, four hundred eighty".