2079918720 has 384 divisors, whose sum is σ = 8300335680. Its totient is φ = 474316800.

The previous prime is 2079918719. The next prime is 2079918761. The reversal of 2079918720 is 278199702.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1076155 + ... + 1078085.

Almost surely, 2^2079918720 is an apocalyptic number.

2079918720 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 2079918720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4150167840).

2079918720 is an abundant number, since it is smaller than the sum of its proper divisors (6220416960).

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

2079918720 is a wasteful number, since it uses less digits than its factorization.

2079918720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1984 (or 1969 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The square root of 2079918720 is about 45606.1259043125. The cubic root of 2079918720 is about 1276.4842323134.

The spelling of 2079918720 in words is "two billion, seventy-nine million, nine hundred eighteen thousand, seven hundred twenty".