2800526400 has 735 divisors, whose sum is σ = 12053097941. Its totient is φ = 640120320.

The previous prime is 2800526389. The next prime is 2800526401. The reversal of 2800526400 is 46250082.

The square root of 2800526400 is 52920.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1008189504 + 1792336896 = 31752^2 + 42336^2 .

It is a tau number, because it is divible by the number of its divisors (735).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2800526401) by changing a digit.

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 104 ways as a sum of consecutive naturals, for example, 400075197 + ... + 400075203.

Almost surely, 2^2800526400 is an apocalyptic number.

2800526400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2800526400 is the 52920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2800526400

2800526400 is an abundant number, since it is smaller than the sum of its proper divisors (9252571541).

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

2800526400 is an frugal number, since it uses more digits than its factorization.

2800526400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The cubic root of 2800526400 is about 1409.5480670226.

Adding to 2800526400 its reverse (46250082), we get a palindrome (2846776482).

The spelling of 2800526400 in words is "two billion, eight hundred million, five hundred twenty-six thousand, four hundred".