2605852620 has 480 divisors, whose sum is σ = 9944782848. Its totient is φ = 558379008.

The previous prime is 2605852609. The next prime is 2605852649. The reversal of 2605852620 is 262585062.

2605852620 is a `hidden beast` number, since 2 + 60 + 58 + 526 + 20 = 666.

2605852620 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 159 ways as a sum of consecutive naturals, for example, 25299489 + ... + 25299591.

Almost surely, 2^2605852620 is an apocalyptic number.

2605852620 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 2605852620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4972391424).

2605852620 is an abundant number, since it is smaller than the sum of its proper divisors (7338930228).

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

2605852620 is a wasteful number, since it uses less digits than its factorization.

2605852620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 2605852620 is about 51047.5525368259. The cubic root of 2605852620 is about 1376.0998574040.

The spelling of 2605852620 in words is "two billion, six hundred five million, eight hundred fifty-two thousand, six hundred twenty".