2105215360248 has 512 divisors, whose sum is σ = 7320857241600. Its totient is φ = 487206236160.

The previous prime is 2105215360231. The next prime is 2105215360273. The reversal of 2105215360248 is 8420635125012.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 585919540 + ... + 585923132.

It is an arithmetic number, because the mean of its divisors is an integer number (14298549300).

Almost surely, 2^{2105215360248} is an apocalyptic number.

2105215360248 is a gapful number since it is divisible by the number (28) 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 2105215360248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3660428620800).

2105215360248 is an abundant number, since it is smaller than the sum of its proper divisors (5215641881352).

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

2105215360248 is a wasteful number, since it uses less digits than its factorization.

2105215360248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3720 (or 3658 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The spelling of 2105215360248 in words is "two trillion, one hundred five billion, two hundred fifteen million, three hundred sixty thousand, two hundred forty-eight".