2079683760 has 320 divisors, whose sum is σ = 8462315520. Its totient is φ = 409328640.

The previous prime is 2079683719. The next prime is 2079683761. The reversal of 2079683760 is 673869702.

It is a hoax number, since the sum of its digits (48) 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 (48).

It is not an unprimeable number, because it can be changed into a prime (2079683761) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 348159 + ... + 354081.

It is an arithmetic number, because the mean of its divisors is an integer number (26444736).

Almost surely, 2^2079683760 is an apocalyptic number.

2079683760 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 2079683760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4231157760).

2079683760 is an abundant number, since it is smaller than the sum of its proper divisors (6382631760).

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

2079683760 is a wasteful number, since it uses less digits than its factorization.

2079683760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5976 (or 5970 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The square root of 2079683760 is about 45603.5498618254. The cubic root of 2079683760 is about 1276.4361640842.

The spelling of 2079683760 in words is "two billion, seventy-nine million, six hundred eighty-three thousand, seven hundred sixty".