2075760 has 120 divisors (see below), whose sum is σ = 7387920. Its totient is φ = 535680.

The previous prime is 2075743. The next prime is 2075761. The reversal of 2075760 is 675702.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2075761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66945 + ... + 66975.

It is an arithmetic number, because the mean of its divisors is an integer number (61566).

2^2075760 is an apocalyptic number.

2075760 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 2075760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3693960).

2075760 is an abundant number, since it is smaller than the sum of its proper divisors (5312160).

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

2075760 is a wasteful number, since it uses less digits than its factorization.

2075760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 2075760 is about 1440.7498047892. The cubic root of 2075760 is about 127.5632903771.

Multiplying 2075760 by its product of nonzero digits (2940), we get a square (6102734400 = 78120²).

The spelling of 2075760 in words is "two million, seventy-five thousand, seven hundred sixty".