2561019120 has 800 divisors, whose sum is σ = 10716456960. Its totient is φ = 559872000.

The previous prime is 2561019103. The next prime is 2561019163. The reversal of 2561019120 is 219101652.

2561019120 is a `hidden beast` number, since 25 + 610 + 1 + 9 + 1 + 20 = 666.

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

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 159 ways as a sum of consecutive naturals, for example, 41983890 + ... + 41983950.

Almost surely, 2^2561019120 is an apocalyptic number.

2561019120 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 2561019120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5358228480).

2561019120 is an abundant number, since it is smaller than the sum of its proper divisors (8155437840).

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

2561019120 is a wasteful number, since it uses less digits than its factorization.

2561019120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 2561019120 is about 50606.5126243649. The cubic root of 2561019120 is about 1368.1622614548.

The spelling of 2561019120 in words is "two billion, five hundred sixty-one million, nineteen thousand, one hundred twenty".