2722960 has 40 divisors (see below), whose sum is σ = 6412536. Its totient is φ = 1075200.

The previous prime is 2722957. The next prime is 2722963. The reversal of 2722960 is 692272.

It is an interprime number because it is at equal distance from previous prime (2722957) and next prime (2722963).

It can be written as a sum of positive squares in 4 ways, for example, as 614656 + 2108304 = 784^2 + 1452^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×2722960² = 14829022323200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2722963) 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, 7912 + ... + 8248.

2^2722960 is an apocalyptic number.

2722960 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 2722960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3206268).

2722960 is an abundant number, since it is smaller than the sum of its proper divisors (3689576).

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

2722960 is a wasteful number, since it uses less digits than its factorization.

2722960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 2722960 is about 1650.1393880518. The cubic root of 2722960 is about 139.6412584021.

The spelling of 2722960 in words is "two million, seven hundred twenty-two thousand, nine hundred sixty".