2015780580 has 480 divisors, whose sum is σ = 7376624640. Its totient is φ = 456192000.

The previous prime is 2015780573. The next prime is 2015780581. The reversal of 2015780580 is 850875102.

2015780580 is a `hidden beast` number, since 2 + 0 + 1 + 5 + 78 + 0 + 580 = 666.

It is a super-3 number, since 3×2015780580³ (a number of 29 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2015780581) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 22649176 + ... + 22649264.

It is an arithmetic number, because the mean of its divisors is an integer number (15367968).

Almost surely, 2^2015780580 is an apocalyptic number.

2015780580 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 2015780580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3688312320).

2015780580 is an abundant number, since it is smaller than the sum of its proper divisors (5360844060).

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

2015780580 is a wasteful number, since it uses less digits than its factorization.

2015780580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The square root of 2015780580 is about 44897.4451388940. The cubic root of 2015780580 is about 1263.2260866640.

The spelling of 2015780580 in words is "two billion, fifteen million, seven hundred eighty thousand, five hundred eighty".