2765630400 has 672 divisors, whose sum is σ = 10667317248. Its totient is φ = 621772800.

The previous prime is 2765630389. The next prime is 2765630437. The reversal of 2765630400 is 40365672.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58843177 + ... + 58843223.

It is an arithmetic number, because the mean of its divisors is an integer number (15873984).

Almost surely, 2^2765630400 is an apocalyptic number.

2765630400 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 2765630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5333658624).

2765630400 is an abundant number, since it is smaller than the sum of its proper divisors (7901686848).

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

2765630400 is a wasteful number, since it uses less digits than its factorization.

2765630400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 134 counting only the distinct ones).

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

The square root of 2765630400 is about 52589.2612612119. The cubic root of 2765630400 is about 1403.6690155736.

The spelling of 2765630400 in words is "two billion, seven hundred sixty-five million, six hundred thirty thousand, four hundred".