2109609605376 has 1152 divisors, whose sum is σ = 7879445360640. Its totient is φ = 541999890432.

The previous prime is 2109609605317. The next prime is 2109609605491. The reversal of 2109609605376 is 6735069069012.

2109609605376 is a `hidden beast` number, since 2 + 10 + 9 + 6 + 0 + 96 + 0 + 537 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 4762098211 + ... + 4762098653.

It is an arithmetic number, because the mean of its divisors is an integer number (6839796320).

Almost surely, 2^{2109609605376} is an apocalyptic number.

2109609605376 is a gapful number since it is divisible by the number (26) 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 2109609605376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3939722680320).

2109609605376 is an abundant number, since it is smaller than the sum of its proper divisors (5769835755264).

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

2109609605376 is a wasteful number, since it uses less digits than its factorization.

2109609605376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 2109609605376 in words is "two trillion, one hundred nine billion, six hundred nine million, six hundred five thousand, three hundred seventy-six".