2079561600 has 480 divisors, whose sum is σ = 7850993040. Its totient is φ = 541900800.

The previous prime is 2079561599. The next prime is 2079561637. The reversal of 2079561600 is 61659702.

2079561600 is a `hidden beast` number, since 20 + 79 + 561 + 6 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 18403144 + ... + 18403256.

Almost surely, 2^2079561600 is an apocalyptic number.

2079561600 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 2079561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3925496520).

2079561600 is an abundant number, since it is smaller than the sum of its proper divisors (5771431440).

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

2079561600 is a wasteful number, since it uses less digits than its factorization.

2079561600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 2079561600 is about 45602.2104727391. The cubic root of 2079561600 is about 1276.4111711024.

The spelling of 2079561600 in words is "two billion, seventy-nine million, five hundred sixty-one thousand, six hundred".