2561760 has 96 divisors (see below), whose sum is σ = 8981280. Its totient is φ = 681984.

The previous prime is 2561759. The next prime is 2561761. The reversal of 2561760 is 671652.

2561760 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2561759) and next prime (2561761).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2561760² = 13125228595200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2561761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4024 + ... + 4616.

It is an arithmetic number, because the mean of its divisors is an integer number (93555).

2^2561760 is an apocalyptic number.

2561760 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 2561760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4490640).

2561760 is an abundant number, since it is smaller than the sum of its proper divisors (6419520).

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

2561760 is a wasteful number, since it uses less digits than its factorization.

2561760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 2561760 is about 1600.5499055012. The cubic root of 2561760 is about 136.8294181116.

It can be divided in two parts, 2561 and 760, that added together give a triangular number (3321 = T₈₁).

The spelling of 2561760 in words is "two million, five hundred sixty-one thousand, seven hundred sixty".