2580721920 has 216 divisors, whose sum is σ = 10204923456. Its totient is φ = 589860864.

The previous prime is 2580721909. The next prime is 2580721961. The reversal of 2580721920 is 291270852.

2580721920 is a `hidden beast` number, since 2 + 580 + 72 + 1 + 9 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64639 + ... + 96641.

It is an arithmetic number, because the mean of its divisors is an integer number (47245016).

Almost surely, 2^2580721920 is an apocalyptic number.

2580721920 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 2580721920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5102461728).

2580721920 is an abundant number, since it is smaller than the sum of its proper divisors (7624201536).

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

2580721920 is a wasteful number, since it uses less digits than its factorization.

2580721920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32037 (or 32020 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 2580721920 is about 50800.8062928139. The cubic root of 2580721920 is about 1371.6618829252.

The spelling of 2580721920 in words is "two billion, five hundred eighty million, seven hundred twenty-one thousand, nine hundred twenty".