2765268000 has 288 divisors, whose sum is σ = 10707645312. Its totient is φ = 670272000.

The previous prime is 2765267977. The next prime is 2765268029. The reversal of 2765268000 is 8625672.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2765268000² = 15293414223648000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 392509 + ... + 399491.

It is an arithmetic number, because the mean of its divisors is an integer number (37179324).

Almost surely, 2^2765268000 is an apocalyptic number.

2765268000 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 2765268000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5353822656).

2765268000 is an abundant number, since it is smaller than the sum of its proper divisors (7942377312).

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

2765268000 is a wasteful number, since it uses less digits than its factorization.

2765268000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7025 (or 7004 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2765268000 is about 52585.8155779674. The cubic root of 2765268000 is about 1403.6077020214.

The spelling of 2765268000 in words is "two billion, seven hundred sixty-five million, two hundred sixty-eight thousand".