2561479200 has 360 divisors, whose sum is σ = 10677566592. Its totient is φ = 585377280.

The previous prime is 2561479189. The next prime is 2561479229. The reversal of 2561479200 is 29741652.

2561479200 is a `hidden beast` number, since 2 + 561 + 4 + 7 + 92 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×2561479200² = 13122351384065280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 450777 + ... + 456423.

Almost surely, 2^2561479200 is an apocalyptic number.

2561479200 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 2561479200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5338783296).

2561479200 is an abundant number, since it is smaller than the sum of its proper divisors (8116087392).

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

2561479200 is a wasteful number, since it uses less digits than its factorization.

2561479200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5686 (or 5664 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 2561479200 is about 50611.0580802259. The cubic root of 2561479200 is about 1368.2441854043.

The spelling of 2561479200 in words is "two billion, five hundred sixty-one million, four hundred seventy-nine thousand, two hundred".