2985277680 has 800 divisors, whose sum is σ = 13412855808. Its totient is φ = 597196800.

The previous prime is 2985277679. The next prime is 2985277717. The reversal of 2985277680 is 867725892.

It is a happy number.

2985277680 is a `hidden beast` number, since 298 + 5 + 277 + 6 + 80 = 666.

It is a super-3 number, since 3×2985277680³ (a number of 29 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 15467664 + ... + 15467856.

Almost surely, 2^2985277680 is an apocalyptic number.

2985277680 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 2985277680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6706427904).

2985277680 is an abundant number, since it is smaller than the sum of its proper divisors (10427578128).

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

2985277680 is a wasteful number, since it uses less digits than its factorization.

2985277680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 252 counting only the distinct ones).

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

The square root of 2985277680 is about 54637.6946805042. The cubic root of 2985277680 is about 1439.8864493796.

The spelling of 2985277680 in words is "two billion, nine hundred eighty-five million, two hundred seventy-seven thousand, six hundred eighty".