2215961948160 has 312 divisors, whose sum is σ = 7732710273600. Its totient is φ = 586949984256.

The previous prime is 2215961948119. The next prime is 2215961948173. The reversal of 2215961948160 is 618491695122.

2215961948160 is a `hidden beast` number, since 2 + 2 + 1 + 5 + 9 + 619 + 4 + 8 + 16 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2215961948097 and 2215961948106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27423337 + ... + 27504023.

It is an arithmetic number, because the mean of its divisors is an integer number (24784327800).

Almost surely, 2^{2215961948160} is an apocalyptic number.

2215961948160 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 2215961948160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3866355136800).

2215961948160 is an abundant number, since it is smaller than the sum of its proper divisors (5516748325440).

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

2215961948160 is a wasteful number, since it uses less digits than its factorization.

2215961948160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80871 (or 80846 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 2215961948160 in words is "two trillion, two hundred fifteen billion, nine hundred sixty-one million, nine hundred forty-eight thousand, one hundred sixty".