2412774400 has 99 divisors (see below), whose sum is σ = 6000303549. Its totient is φ = 961966080.

The previous prime is 2412774389. The next prime is 2412774401. The reversal of 2412774400 is 44772142.

The square root of 2412774400 is 49120.

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., 868598784 + 1544175616 = 29472^2 + 39296^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2412774401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7859047 + ... + 7859353.

Almost surely, 2^2412774400 is an apocalyptic number.

2412774400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2412774400 is the 49120-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2412774400

2412774400 is an abundant number, since it is smaller than the sum of its proper divisors (3587529149).

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

2412774400 is an frugal number, since it uses more digits than its factorization.

2412774400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 31.

The cubic root of 2412774400 is about 1341.2371436471.

Multiplying 2412774400 by its product of nonzero digits (12544), we get a square (30265842073600 = 5501440²).

The spelling of 2412774400 in words is "two billion, four hundred twelve million, seven hundred seventy-four thousand, four hundred".