2180215457280 has 1280 divisors, whose sum is σ = 9211501854720. Its totient is φ = 478288281600.

The previous prime is 2180215457267. The next prime is 2180215457281. The reversal of 2180215457280 is 827545120812.

2180215457280 is a `hidden beast` number, since 2 + 1 + 8 + 0 + 21 + 54 + 572 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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 (2180215457281) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2054867950 + ... + 2054869010.

It is an arithmetic number, because the mean of its divisors is an integer number (7196485824).

Almost surely, 2^{2180215457280} is an apocalyptic number.

2180215457280 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 2180215457280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4605750927360).

2180215457280 is an abundant number, since it is smaller than the sum of its proper divisors (7031286397440).

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

2180215457280 is a wasteful number, since it uses less digits than its factorization.

2180215457280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The spelling of 2180215457280 in words is "two trillion, one hundred eighty billion, two hundred fifteen million, four hundred fifty-seven thousand, two hundred eighty".