2215096759920 has 640 divisors, whose sum is σ = 7718934528000. Its totient is φ = 520956334080.

The previous prime is 2215096759901. The next prime is 2215096759949. The reversal of 2215096759920 is 299576905122.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5844582291 + ... + 5844582669.

It is an arithmetic number, because the mean of its divisors is an integer number (12060835200).

Almost surely, 2^{2215096759920} is an apocalyptic number.

2215096759920 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 2215096759920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3859467264000).

2215096759920 is an abundant number, since it is smaller than the sum of its proper divisors (5503837768080).

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

2215096759920 is a wasteful number, since it uses less digits than its factorization.

2215096759920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 57.

The spelling of 2215096759920 in words is "two trillion, two hundred fifteen billion, ninety-six million, seven hundred fifty-nine thousand, nine hundred twenty".