2755175040 has 512 divisors, whose sum is σ = 10548921600. Its totient is φ = 677117952.

The previous prime is 2755175011. The next prime is 2755175041. The reversal of 2755175040 is 405715572.

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 = 2755174986 and 2755175004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2755175041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24382024 + ... + 24382136.

Almost surely, 2^2755175040 is an apocalyptic number.

2755175040 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 2755175040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5274460800).

2755175040 is an abundant number, since it is smaller than the sum of its proper divisors (7793746560).

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

2755175040 is a wasteful number, since it uses less digits than its factorization.

2755175040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 49000, while the sum is 36.

The square root of 2755175040 is about 52489.7612873215. The cubic root of 2755175040 is about 1401.8979428533.

The spelling of 2755175040 in words is "two billion, seven hundred fifty-five million, one hundred seventy-five thousand, forty".