2115903928320 has 2880 divisors, whose sum is σ = 10017814847040. Its totient is φ = 415840075776.

The previous prime is 2115903928297. The next prime is 2115903928363. The reversal of 2115903928320 is 238293095112.

2115903928320 is a `hidden beast` number, since 2 + 1 + 1 + 590 + 3 + 9 + 28 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 239 ways as a sum of consecutive naturals, for example, 21813442512 + ... + 21813442608.

It is an arithmetic number, because the mean of its divisors is an integer number (3478407933).

Almost surely, 2^{2115903928320} is an apocalyptic number.

2115903928320 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 2115903928320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5008907423520).

2115903928320 is an abundant number, since it is smaller than the sum of its proper divisors (7901910918720).

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

2115903928320 is a wasteful number, since it uses less digits than its factorization.

2115903928320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 2115903928320 in words is "two trillion, one hundred fifteen billion, nine hundred three million, nine hundred twenty-eight thousand, three hundred twenty".