2055411600 has 240 divisors, whose sum is σ = 7415906304. Its totient is φ = 482112000.

The previous prime is 2055411587. The next prime is 2055411601. The reversal of 2055411600 is 61145502.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2055411601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 406689 + ... + 411711.

Almost surely, 2^2055411600 is an apocalyptic number.

2055411600 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 2055411600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3707953152).

2055411600 is an abundant number, since it is smaller than the sum of its proper divisors (5360494704).

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

2055411600 is a wasteful number, since it uses less digits than its factorization.

2055411600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5086 (or 5075 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 2055411600 is about 45336.6474278811. The cubic root of 2055411600 is about 1271.4509219894.

The spelling of 2055411600 in words is "two billion, fifty-five million, four hundred eleven thousand, six hundred".