2560761 has 32 divisors (see below), whose sum is σ = 4596480. Its totient is φ = 1375488.

The previous prime is 2560759. The next prime is 2560783. The reversal of 2560761 is 1670652.

It is not a de Polignac number, because 2560761 - 2¹ = 2560759 is a prime.

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

2560761 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2560721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2815 + ... + 3611.

It is an arithmetic number, because the mean of its divisors is an integer number (143640).

2^2560761 is an apocalyptic number.

2560761 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2560761 is a deficient number, since it is larger than the sum of its proper divisors (2035719).

2560761 is a wasteful number, since it uses less digits than its factorization.

2560761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 824 counting only the distinct ones).

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

The square root of 2560761 is about 1600.2377948293. The cubic root of 2560761 is about 136.8116295130.

It can be divided in two parts, 2560 and 761, that added together give a triangular number (3321 = T₈₁).

The spelling of 2560761 in words is "two million, five hundred sixty thousand, seven hundred sixty-one".