2765952000 has 660 divisors, whose sum is σ = 11627836116. Its totient is φ = 632217600.

The previous prime is 2765951971. The next prime is 2765952011. The reversal of 2765952000 is 2595672.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 88510464 + 2677441536 = 9408^2 + 51744^2 .

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

It is a congruent number.

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 59 ways as a sum of consecutive naturals, for example, 395135997 + ... + 395136003.

Almost surely, 2^2765952000 is an apocalyptic number.

2765952000 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 2765952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5813918058).

2765952000 is an abundant number, since it is smaller than the sum of its proper divisors (8861884116).

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

2765952000 is an frugal number, since it uses more digits than its factorization.

2765952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 2765952000 is about 52592.3188307951. The cubic root of 2765952000 is about 1403.7234217901.

The spelling of 2765952000 in words is "two billion, seven hundred sixty-five million, nine hundred fifty-two thousand".