2750006000 has 80 divisors (see below), whose sum is σ = 7599483840. Its totient is φ = 942854400.

The previous prime is 2750005919. The next prime is 2750006011. The reversal of 2750006000 is 6000572.

2750006000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×2750006000³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84215 + ... + 112214.

It is an arithmetic number, because the mean of its divisors is an integer number (94993548).

Almost surely, 2^2750006000 is an apocalyptic number.

2750006000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2750006000 is an abundant number, since it is smaller than the sum of its proper divisors (4849477840).

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

2750006000 is a wasteful number, since it uses less digits than its factorization.

2750006000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196459 (or 196443 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 2750006000 is about 52440.4996162317. The cubic root of 2750006000 is about 1401.0206842503.

Adding to 2750006000 its reverse (6000572), we get a palindrome (2756006572).

The spelling of 2750006000 in words is "two billion, seven hundred fifty million, six thousand".