2106379290384 has 80 divisors (see below), whose sum is σ = 6077743856640. Its totient is φ = 698450348160.

The previous prime is 2106379290377. The next prime is 2106379290401. The reversal of 2106379290384 is 4830929736012.

2106379290384 is a `hidden beast` number, since 2 + 106 + 3 + 79 + 2 + 90 + 384 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2106379290384.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12681567 + ... + 12846590.

It is an arithmetic number, because the mean of its divisors is an integer number (75971798208).

Almost surely, 2^{2106379290384} is an apocalyptic number.

2106379290384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2106379290384 is an abundant number, since it is smaller than the sum of its proper divisors (3971364566256).

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

2106379290384 is a wasteful number, since it uses less digits than its factorization.

2106379290384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25528365 (or 25528353 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 2106379290384 in words is "two trillion, one hundred six billion, three hundred seventy-nine million, two hundred ninety thousand, three hundred eighty-four".