2215707648000 has 3584 divisors, whose sum is σ = 10599198105600. Its totient is φ = 396361728000.

The previous prime is 2215707647963. The next prime is 2215707648023. The reversal of 2215707648000 is 8467075122.

It is a tau number, because it is divible by the number of its divisors (3584).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 76403711986 + ... + 76403712014.

Almost surely, 2^{2215707648000} is an apocalyptic number.

2215707648000 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 2215707648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5299599052800).

2215707648000 is an abundant number, since it is smaller than the sum of its proper divisors (8383490457600).

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

2215707648000 is a wasteful number, since it uses less digits than its factorization.

2215707648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The spelling of 2215707648000 in words is "two trillion, two hundred fifteen billion, seven hundred seven million, six hundred forty-eight thousand".