2561505760 has 96 divisors (see below), whose sum is σ = 6692468832. Its totient is φ = 918650880.

The previous prime is 2561505757. The next prime is 2561505773. The reversal of 2561505760 is 675051652.

2561505760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2561505760² = 13122623517026355200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118512 + ... + 138448.

It is an arithmetic number, because the mean of its divisors is an integer number (69713217).

Almost surely, 2^2561505760 is an apocalyptic number.

2561505760 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 2561505760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3346234416).

2561505760 is an abundant number, since it is smaller than the sum of its proper divisors (4130963072).

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

2561505760 is a wasteful number, since it uses less digits than its factorization.

2561505760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20036 (or 20028 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 37.

The square root of 2561505760 is about 50611.3204727954. The cubic root of 2561505760 is about 1368.2489144999.

The spelling of 2561505760 in words is "two billion, five hundred sixty-one million, five hundred five thousand, seven hundred sixty".