2084407879680 has 1152 divisors, whose sum is σ = 8784769593600. Its totient is φ = 467285704704.

The previous prime is 2084407879661. The next prime is 2084407879693. The reversal of 2084407879680 is 869787044802.

2084407879680 is a `hidden beast` number, since 2 + 0 + 84 + 407 + 8 + 79 + 6 + 80 = 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 (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 718017109 + ... + 718020011.

It is an arithmetic number, because the mean of its divisors is an integer number (7625668050).

Almost surely, 2^{2084407879680} is an apocalyptic number.

2084407879680 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 2084407879680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4392384796800).

2084407879680 is an abundant number, since it is smaller than the sum of its proper divisors (6700361713920).

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

2084407879680 is a wasteful number, since it uses less digits than its factorization.

2084407879680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3006 (or 2973 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 2084407879680 in words is "two trillion, eighty-four billion, four hundred seven million, eight hundred seventy-nine thousand, six hundred eighty".