2855795040 has 288 divisors, whose sum is σ = 11293079616. Its totient is φ = 643645440.

The previous prime is 2855795029. The next prime is 2855795081. The reversal of 2855795040 is 405975582.

2855795040 is a `hidden beast` number, since 2 + 8 + 557 + 9 + 50 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 733900 + ... + 737780.

It is an arithmetic number, because the mean of its divisors is an integer number (39212082).

Almost surely, 2^2855795040 is an apocalyptic number.

2855795040 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 2855795040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5646539808).

2855795040 is an abundant number, since it is smaller than the sum of its proper divisors (8437284576).

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

2855795040 is a wasteful number, since it uses less digits than its factorization.

2855795040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3982 (or 3971 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The square root of 2855795040 is about 53439.6392203391. The cubic root of 2855795040 is about 1418.7602483557.

The spelling of 2855795040 in words is "two billion, eight hundred fifty-five million, seven hundred ninety-five thousand, forty".