2652765000 has 320 divisors, whose sum is σ = 8947635840. Its totient is φ = 652800000.

The previous prime is 2652764993. The next prime is 2652765019. The reversal of 2652765000 is 5672562.

It is a super-3 number, since 3×2652765000³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25754949 + ... + 25755051.

It is an arithmetic number, because the mean of its divisors is an integer number (27961362).

Almost surely, 2^2652765000 is an apocalyptic number.

2652765000 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 2652765000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4473817920).

2652765000 is an abundant number, since it is smaller than the sum of its proper divisors (6294870840).

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

2652765000 is a wasteful number, since it uses less digits than its factorization.

2652765000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 2652765000 is about 51504.9997573051. Note that the first 3 decimals coincide. The cubic root of 2652765000 is about 1384.3086298133.

The spelling of 2652765000 in words is "two billion, six hundred fifty-two million, seven hundred sixty-five thousand".