2455605600 has 576 divisors, whose sum is σ = 9874368000. Its totient is φ = 528353280.

The previous prime is 2455605587. The next prime is 2455605629. The reversal of 2455605600 is 65065542.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 15640722 + ... + 15640878.

It is an arithmetic number, because the mean of its divisors is an integer number (17143000).

Almost surely, 2^2455605600 is an apocalyptic number.

2455605600 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 2455605600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4937184000).

2455605600 is an abundant number, since it is smaller than the sum of its proper divisors (7418762400).

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

2455605600 is a wasteful number, since it uses less digits than its factorization.

2455605600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The square root of 2455605600 is about 49554.0674415330. The cubic root of 2455605600 is about 1349.1271174894.

The spelling of 2455605600 in words is "two billion, four hundred fifty-five million, six hundred five thousand, six hundred".