2766530400 has 144 divisors (see below), whose sum is σ = 9315810000. Its totient is φ = 712284160.

The previous prime is 2766530369. The next prime is 2766530447. The reversal of 2766530400 is 40356672.

2766530400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49726 + ... + 89474.

It is an arithmetic number, because the mean of its divisors is an integer number (64693125).

Almost surely, 2^2766530400 is an apocalyptic number.

2766530400 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 2766530400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4657905000).

2766530400 is an abundant number, since it is smaller than the sum of its proper divisors (6549279600).

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

2766530400 is a wasteful number, since it uses less digits than its factorization.

2766530400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39801 (or 39788 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 2766530400 is about 52597.8174452134. The cubic root of 2766530400 is about 1403.8212611644.

The spelling of 2766530400 in words is "two billion, seven hundred sixty-six million, five hundred thirty thousand, four hundred".