2107905469488 has 640 divisors, whose sum is σ = 7579248230400. Its totient is φ = 546086458368.

The previous prime is 2107905469391. The next prime is 2107905469567. The reversal of 2107905469488 is 8849645097012.

2107905469488 is a `hidden beast` number, since 2 + 1 + 0 + 7 + 9 + 0 + 546 + 9 + 4 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 1156282945 + ... + 1156284767.

It is an arithmetic number, because the mean of its divisors is an integer number (11842575360).

Almost surely, 2^{2107905469488} is an apocalyptic number.

2107905469488 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 2107905469488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3789624115200).

2107905469488 is an abundant number, since it is smaller than the sum of its proper divisors (5471342760912).

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

2107905469488 is a wasteful number, since it uses less digits than its factorization.

2107905469488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2366 (or 2354 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 2107905469488 in words is "two trillion, one hundred seven billion, nine hundred five million, four hundred sixty-nine thousand, four hundred eighty-eight".