2055119040 has 672 divisors, whose sum is σ = 8387608320. Its totient is φ = 474771456.

The previous prime is 2055119029. The next prime is 2055119041. The reversal of 2055119040 is 409115502.

2055119040 is a `hidden beast` number, since 20 + 5 + 511 + 90 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2055118995 and 2055119013.

It is not an unprimeable number, because it can be changed into a prime (2055119041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19206667 + ... + 19206773.

It is an arithmetic number, because the mean of its divisors is an integer number (12481560).

Almost surely, 2^2055119040 is an apocalyptic number.

2055119040 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 2055119040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4193804160).

2055119040 is an abundant number, since it is smaller than the sum of its proper divisors (6332489280).

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

2055119040 is a wasteful number, since it uses less digits than its factorization.

2055119040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 2055119040 is about 45333.4207842294. The cubic root of 2055119040 is about 1271.3905945216.

The spelling of 2055119040 in words is "two billion, fifty-five million, one hundred nineteen thousand, forty".