2561002752 has 432 divisors, whose sum is σ = 8908046336. Its totient is φ = 638668800.

The previous prime is 2561002747. The next prime is 2561002777. The reversal of 2561002752 is 2572001652.

It is a congruent number.

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, 20165313 + ... + 20165439.

Almost surely, 2^2561002752 is an apocalyptic number.

2561002752 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 2561002752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4454023168).

2561002752 is an abundant number, since it is smaller than the sum of its proper divisors (6347043584).

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

2561002752 is a wasteful number, since it uses less digits than its factorization.

2561002752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 2561002752 is about 50606.3509057905. The cubic root of 2561002752 is about 1368.1593467131.

It can be divided in two parts, 256100 and 2752, that added together give a palindrome (258852).

The spelling of 2561002752 in words is "two billion, five hundred sixty-one million, two thousand, seven hundred fifty-two".