2555603820 has 576 divisors, whose sum is σ = 10189670400. Its totient is φ = 513676800.

The previous prime is 2555603789. The next prime is 2555603837. The reversal of 2555603820 is 283065552.

It is a happy number.

2555603820 is a `hidden beast` number, since 25 + 5 + 5 + 603 + 8 + 20 = 666.

2555603820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2555603820² = 13062221769597184800, which contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 35994385 + ... + 35994455.

It is an arithmetic number, because the mean of its divisors is an integer number (17690400).

Almost surely, 2^2555603820 is an apocalyptic number.

2555603820 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 2555603820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5094835200).

2555603820 is an abundant number, since it is smaller than the sum of its proper divisors (7634066580).

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

2555603820 is a wasteful number, since it uses less digits than its factorization.

2555603820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 2555603820 is about 50552.9803275732. The cubic root of 2555603820 is about 1367.1972501278.

The spelling of 2555603820 in words is "two billion, five hundred fifty-five million, six hundred three thousand, eight hundred twenty".