2561207600 has 240 divisors, whose sum is σ = 7646177280. Its totient is φ = 804556800.

The previous prime is 2561207491. The next prime is 2561207611. The reversal of 2561207600 is 67021652.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1648424 + ... + 1649976.

It is an arithmetic number, because the mean of its divisors is an integer number (31859072).

Almost surely, 2^2561207600 is an apocalyptic number.

2561207600 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 2561207600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3823088640).

2561207600 is an abundant number, since it is smaller than the sum of its proper divisors (5084969680).

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

2561207600 is a wasteful number, since it uses less digits than its factorization.

2561207600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1628 (or 1617 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 2561207600 is about 50608.3748010149. The cubic root of 2561207600 is about 1368.1958242522.

The spelling of 2561207600 in words is "two billion, five hundred sixty-one million, two hundred seven thousand, six hundred".