2561974272 has 448 divisors, whose sum is σ = 9027688320. Its totient is φ = 716636160.

The previous prime is 2561974253. The next prime is 2561974297. The reversal of 2561974272 is 2724791652.

2561974272 is a `hidden beast` number, since 2 + 5 + 619 + 7 + 4 + 27 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197074938 + ... + 197074950.

It is an arithmetic number, because the mean of its divisors is an integer number (20151090).

Almost surely, 2^2561974272 is an apocalyptic number.

2561974272 is a gapful number since it is divisible by the number (22) 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 2561974272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4513844160).

2561974272 is an abundant number, since it is smaller than the sum of its proper divisors (6465714048).

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

2561974272 is an frugal number, since it uses more digits than its factorization.

2561974272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 29 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 2561974272 is about 50615.9487908703. The cubic root of 2561974272 is about 1368.3323292328.

The spelling of 2561974272 in words is "two billion, five hundred sixty-one million, nine hundred seventy-four thousand, two hundred seventy-two".