2552270400 has 189 divisors, whose sum is σ = 9092970003. Its totient is φ = 678988800.

The previous prime is 2552270389. The next prime is 2552270411. The reversal of 2552270400 is 40722552.

The square root of 2552270400 is 50520.

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

2552270400 is a `hidden beast` number, since 2 + 552 + 2 + 70 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2552270389) and next prime (2552270411).

It can be written as a sum of positive squares in 4 ways, for example, as 1461685824 + 1090584576 = 38232^2 + 33024^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6062190 + ... + 6062610.

Almost surely, 2^2552270400 is an apocalyptic number.

2552270400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2552270400 is the 50520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2552270400

2552270400 is an abundant number, since it is smaller than the sum of its proper divisors (6540699603).

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

2552270400 is an equidigital number, since it uses as much as digits as its factorization.

2552270400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The cubic root of 2552270400 is about 1366.6025536716.

Adding to 2552270400 its reverse (40722552), we get a palindrome (2592992952).

It can be divided in two parts, 2552270 and 400, that added together give a triangular number (2552670 = T₂₂₅₉).

The spelling of 2552270400 in words is "two billion, five hundred fifty-two million, two hundred seventy thousand, four hundred".