2079176064 has 128 divisors (see below), whose sum is σ = 6371654400. Its totient is φ = 588417024.

The previous prime is 2079176059. The next prime is 2079176089. The reversal of 2079176064 is 4606719702.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×2079176064² = 8645946210221064192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 284002 + ... + 291230.

It is an arithmetic number, because the mean of its divisors is an integer number (49778550).

Almost surely, 2^2079176064 is an apocalyptic number.

2079176064 is a gapful number since it is divisible by the number (24) 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 2079176064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3185827200).

2079176064 is an abundant number, since it is smaller than the sum of its proper divisors (4292478336).

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

2079176064 is a wasteful number, since it uses less digits than its factorization.

2079176064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7360 (or 7348 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 2079176064 is about 45597.9831132913. The cubic root of 2079176064 is about 1276.3322870287.

The spelling of 2079176064 in words is "two billion, seventy-nine million, one hundred seventy-six thousand, sixty-four".