2485981680 has 640 divisors, whose sum is σ = 10199347200. Its totient is φ = 496742400.

The previous prime is 2485981649. The next prime is 2485981681. The reversal of 2485981680 is 861895842.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2485981681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24613630 + ... + 24613730.

It is an arithmetic number, because the mean of its divisors is an integer number (15936480).

Almost surely, 2^2485981680 is an apocalyptic number.

2485981680 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 2485981680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5099673600).

2485981680 is an abundant number, since it is smaller than the sum of its proper divisors (7713365520).

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

2485981680 is a wasteful number, since it uses less digits than its factorization.

2485981680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 51.

The square root of 2485981680 is about 49859.6197338086. The cubic root of 2485981680 is about 1354.6672803169.

It can be divided in two parts, 248598 and 1680, that added together give a triangular number (250278 = T₇₀₇).

The spelling of 2485981680 in words is "two billion, four hundred eighty-five million, nine hundred eighty-one thousand, six hundred eighty".