2677858920 has 256 divisors, whose sum is σ = 9923731200. Its totient is φ = 636779520.

The previous prime is 2677858913. The next prime is 2677858949. The reversal of 2677858920 is 298587762.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 627514 + ... + 631766.

It is an arithmetic number, because the mean of its divisors is an integer number (38764575).

Almost surely, 2^2677858920 is an apocalyptic number.

2677858920 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 2677858920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4961865600).

2677858920 is an abundant number, since it is smaller than the sum of its proper divisors (7245872280).

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

2677858920 is a wasteful number, since it uses less digits than its factorization.

2677858920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4337 (or 4327 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 2677858920 is about 51748.0330060960. The cubic root of 2677858920 is about 1388.6599095533.

The spelling of 2677858920 in words is "two billion, six hundred seventy-seven million, eight hundred fifty-eight thousand, nine hundred twenty".