2215840688640 has 960 divisors, whose sum is σ = 8340156972576. Its totient is φ = 541606281216.

The previous prime is 2215840688591. The next prime is 2215840688653. The reversal of 2215840688640 is 468860485122.

2215840688640 is a `hidden beast` number, since 2 + 2 + 158 + 406 + 8 + 86 + 4 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 540824926464 + 1675015762176 = 735408^2 + 1294224^2 .

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3591313612 + ... + 3591314228.

Almost surely, 2^{2215840688640} is an apocalyptic number.

2215840688640 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 2215840688640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4170078486288).

2215840688640 is an abundant number, since it is smaller than the sum of its proper divisors (6124316283936).

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

2215840688640 is a wasteful number, since it uses less digits than its factorization.

2215840688640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 2215840688640 in words is "two trillion, two hundred fifteen billion, eight hundred forty million, six hundred eighty-eight thousand, six hundred forty".