2610085920 has 384 divisors, whose sum is σ = 9299017728. Its totient is φ = 611020800.

The previous prime is 2610085913. The next prime is 2610085937. The reversal of 2610085920 is 295800162.

It is a Cunningham number, because it is equal to 51089²-1.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19924255 + ... + 19924385.

It is an arithmetic number, because the mean of its divisors is an integer number (24216192).

Almost surely, 2^2610085920 is an apocalyptic number.

2610085920 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 2610085920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4649508864).

2610085920 is an abundant number, since it is smaller than the sum of its proper divisors (6688931808).

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

2610085920 is a wasteful number, since it uses less digits than its factorization.

2610085920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 2610085920 is about 51088.9999902132. Note that the first 5 decimals coincide. The cubic root of 2610085920 is about 1376.8446285881.

The spelling of 2610085920 in words is "two billion, six hundred ten million, eighty-five thousand, nine hundred twenty".