2520085680 has 360 divisors, whose sum is σ = 10014988464. Its totient is φ = 566092800.

The previous prime is 2520085609. The next prime is 2520085681. The reversal of 2520085680 is 865800252.

2520085680 is a `hidden beast` number, since 2 + 520 + 0 + 8 + 56 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is not an unprimeable number, because it can be changed into a prime (2520085681) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2151495 + ... + 2152665.

Almost surely, 2^2520085680 is an apocalyptic number.

2520085680 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 2520085680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5007494232).

2520085680 is an abundant number, since it is smaller than the sum of its proper divisors (7494902784).

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

2520085680 is a wasteful number, since it uses less digits than its factorization.

2520085680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 2520085680 is about 50200.4549780179. The cubic root of 2520085680 is about 1360.8338456247.

The spelling of 2520085680 in words is "two billion, five hundred twenty million, eighty-five thousand, six hundred eighty".