2755237680 has 200 divisors, whose sum is σ = 10305767472. Its totient is φ = 678191616.

The previous prime is 2755237673. The next prime is 2755237687. The reversal of 2755237680 is 867325572.

2755237680 is a `hidden beast` number, since 2 + 7 + 552 + 37 + 68 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2755237673) and next prime (2755237687).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2755237687) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 67887 + ... + 100593.

Almost surely, 2^2755237680 is an apocalyptic number.

2755237680 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 2755237680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5152883736).

2755237680 is an abundant number, since it is smaller than the sum of its proper divisors (7550529792).

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

2755237680 is a wasteful number, since it uses less digits than its factorization.

2755237680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32745 (or 32730 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 2755237680 is about 52490.3579717266. The cubic root of 2755237680 is about 1401.9085670085.

The spelling of 2755237680 in words is "two billion, seven hundred fifty-five million, two hundred thirty-seven thousand, six hundred eighty".