2855051640 has 576 divisors, whose sum is σ = 11677685760. Its totient is φ = 601413120.

The previous prime is 2855051629. The next prime is 2855051743. The reversal of 2855051640 is 461505582.

2855051640 is a `hidden beast` number, since 2 + 8 + 5 + 5 + 0 + 5 + 1 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2855051595 and 2855051604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12577207 + ... + 12577433.

It is an arithmetic number, because the mean of its divisors is an integer number (20273760).

Almost surely, 2^2855051640 is an apocalyptic number.

2855051640 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 2855051640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5838842880).

2855051640 is an abundant number, since it is smaller than the sum of its proper divisors (8822634120).

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

2855051640 is a wasteful number, since it uses less digits than its factorization.

2855051640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 2855051640 is about 53432.6832565987. The cubic root of 2855051640 is about 1418.6371305216.

The spelling of 2855051640 in words is "two billion, eight hundred fifty-five million, fifty-one thousand, six hundred forty".