2750649000 has 512 divisors, whose sum is σ = 10189670400. Its totient is φ = 610560000.

The previous prime is 2750648963. The next prime is 2750649001. The reversal of 2750649000 is 9460572.

2750649000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (2750649001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25706947 + ... + 25707053.

It is an arithmetic number, because the mean of its divisors is an integer number (19901700).

Almost surely, 2^2750649000 is an apocalyptic number.

2750649000 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 2750649000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5094835200).

2750649000 is an abundant number, since it is smaller than the sum of its proper divisors (7439021400).

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

2750649000 is a wasteful number, since it uses less digits than its factorization.

2750649000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 2750649000 is about 52446.6300156645. The cubic root of 2750649000 is about 1401.1298702057.

The spelling of 2750649000 in words is "two billion, seven hundred fifty million, six hundred forty-nine thousand".