2561210600 has 96 divisors (see below), whose sum is σ = 6439509720. Its totient is φ = 941752320.

The previous prime is 2561210567. The next prime is 2561210623. The reversal of 2561210600 is 60121652.

It can be written as a sum of positive squares in 12 ways, for example, as 139192804 + 2422017796 = 11798^2 + 49214^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 666284 + ... + 670116.

Almost surely, 2^2561210600 is an apocalyptic number.

2561210600 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 2561210600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3219754860).

2561210600 is an abundant number, since it is smaller than the sum of its proper divisors (3878299120).

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

2561210600 is a wasteful number, since it uses less digits than its factorization.

2561210600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4119 (or 4110 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 2561210600 is about 50608.4044403694. The cubic root of 2561210600 is about 1368.1963584515.

The spelling of 2561210600 in words is "two billion, five hundred sixty-one million, two hundred ten thousand, six hundred".