2855151936 has 448 divisors, whose sum is σ = 10523484160. Its totient is φ = 739031040.

The previous prime is 2855151889. The next prime is 2855151947. The reversal of 2855151936 is 6391515582.

2855151936 is a `hidden beast` number, since 2 + 8 + 551 + 5 + 1 + 93 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a junction number, because it is equal to n+sod(n) for n = 2855151891 and 2855151900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10535481 + ... + 10535751.

It is an arithmetic number, because the mean of its divisors is an integer number (23489920).

Almost surely, 2^2855151936 is an apocalyptic number.

2855151936 is a gapful number since it is divisible by the number (26) 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 2855151936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5261742080).

2855151936 is an abundant number, since it is smaller than the sum of its proper divisors (7668332224).

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

2855151936 is a wasteful number, since it uses less digits than its factorization.

2855151936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 363 counting only the distinct ones).

The product of its digits is 324000, while the sum is 45.

The square root of 2855151936 is about 53433.6217750584. The cubic root of 2855151936 is about 1418.6537422425.

The spelling of 2855151936 in words is "two billion, eight hundred fifty-five million, one hundred fifty-one thousand, nine hundred thirty-six".