2055609600 has 216 divisors, whose sum is σ = 7401422112. Its totient is φ = 498278400.

The previous prime is 2055609583. The next prime is 2055609607. The reversal of 2055609600 is 69065502.

It is a super-2 number, since 2×2055609600² = 8451061655224320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2055609607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 206334 + ... + 216066.

Almost surely, 2^2055609600 is an apocalyptic number.

2055609600 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 2055609600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3700711056).

2055609600 is an abundant number, since it is smaller than the sum of its proper divisors (5345812512).

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

2055609600 is a wasteful number, since it uses less digits than its factorization.

2055609600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9773 (or 9754 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 2055609600 is about 45338.8310391876. The cubic root of 2055609600 is about 1271.4917474214.

The spelling of 2055609600 in words is "two billion, fifty-five million, six hundred nine thousand, six hundred".