2079540540 has 288 divisors, whose sum is σ = 8157187584. Its totient is φ = 432034560.

The previous prime is 2079540539. The next prime is 2079540553. The reversal of 2079540540 is 450459702.

2079540540 is a `hidden beast` number, since 2 + 0 + 79 + 5 + 40 + 540 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2079540495 and 2079540504.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 371442 + ... + 376998.

It is an arithmetic number, because the mean of its divisors is an integer number (28323568).

Almost surely, 2^2079540540 is an apocalyptic number.

2079540540 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 2079540540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4078593792).

2079540540 is an abundant number, since it is smaller than the sum of its proper divisors (6077647044).

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

2079540540 is a wasteful number, since it uses less digits than its factorization.

2079540540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5599 (or 5585 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 2079540540 is about 45601.9795622953. The cubic root of 2079540540 is about 1276.4068622920.

The spelling of 2079540540 in words is "two billion, seventy-nine million, five hundred forty thousand, five hundred forty".