2855677680 has 240 divisors, whose sum is σ = 10531763424. Its totient is φ = 716636160.

The previous prime is 2855677679. The next prime is 2855677681. The reversal of 2855677680 is 867765582.

2855677680 is a `hidden beast` number, since 2 + 8 + 5 + 567 + 76 + 8 + 0 = 666.

2855677680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2855677679) and next prime (2855677681).

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 (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2855677681) 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, 326160 + ... + 334800.

Almost surely, 2^2855677680 is an apocalyptic number.

2855677680 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 2855677680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5265881712).

2855677680 is an abundant number, since it is smaller than the sum of its proper divisors (7676085744).

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

2855677680 is a wasteful number, since it uses less digits than its factorization.

2855677680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8686 (or 8668 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The square root of 2855677680 is about 53438.5411477522. The cubic root of 2855677680 is about 1418.7408132560.

The spelling of 2855677680 in words is "two billion, eight hundred fifty-five million, six hundred seventy-seven thousand, six hundred eighty".