2653960 has 32 divisors (see below), whose sum is σ = 6114240. Its totient is φ = 1036224.

The previous prime is 2653957. The next prime is 2653967. The reversal of 2653960 is 693562.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (2653967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 949 + ... + 2491.

It is an arithmetic number, because the mean of its divisors is an integer number (191070).

2^2653960 is an apocalyptic number.

2653960 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 2653960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3057120).

2653960 is an abundant number, since it is smaller than the sum of its proper divisors (3460280).

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

2653960 is a wasteful number, since it uses less digits than its factorization.

2653960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1597 (or 1593 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 31.

The square root of 2653960 is about 1629.0979098876. The cubic root of 2653960 is about 138.4516463335.

It can be divided in two parts, 265 and 3960, that added together give a square (4225 = 65²).

The spelling of 2653960 in words is "two million, six hundred fifty-three thousand, nine hundred sixty".