2561059200 has 384 divisors, whose sum is σ = 10065784320. Its totient is φ = 559595520.

The previous prime is 2561059183. The next prime is 2561059201. The reversal of 2561059200 is 29501652.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2561059201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1544772 + ... + 1546428.

It is an arithmetic number, because the mean of its divisors is an integer number (26212980).

Almost surely, 2^2561059200 is an apocalyptic number.

2561059200 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 2561059200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5032892160).

2561059200 is an abundant number, since it is smaller than the sum of its proper divisors (7504725120).

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

2561059200 is a wasteful number, since it uses less digits than its factorization.

2561059200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1714 (or 1697 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 2561059200 is about 50606.9086192785. The cubic root of 2561059200 is about 1368.1693986731.

The spelling of 2561059200 in words is "two billion, five hundred sixty-one million, fifty-nine thousand, two hundred".