2765029000 has 64 divisors (see below), whose sum is σ = 6620739840. Its totient is φ = 1080273600.

The previous prime is 2765028997. The next prime is 2765029009. The reversal of 2765029000 is 9205672.

It is not an unprimeable number, because it can be changed into a prime (2765029009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10849 + ... + 75151.

It is an arithmetic number, because the mean of its divisors is an integer number (103449060).

Almost surely, 2^2765029000 is an apocalyptic number.

2765029000 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 2765029000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3310369920).

2765029000 is an abundant number, since it is smaller than the sum of its proper divisors (3855710840).

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

2765029000 is a wasteful number, since it uses less digits than its factorization.

2765029000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64367 (or 64353 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 2765029000 is about 52583.5430529362. The cubic root of 2765029000 is about 1403.5672632760.

The spelling of 2765029000 in words is "two billion, seven hundred sixty-five million, twenty-nine thousand".