2752960 has 56 divisors (see below), whose sum is σ = 7498080. Its totient is φ = 943104.

The previous prime is 2752951. The next prime is 2752961. The reversal of 2752960 is 692572.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2752961) 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, 1626 + ... + 2854.

2^2752960 is an apocalyptic number.

2752960 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 2752960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3749040).

2752960 is an abundant number, since it is smaller than the sum of its proper divisors (4745120).

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

2752960 is a wasteful number, since it uses less digits than its factorization.

2752960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253 (or 1243 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 2752960 is about 1659.2046287303. The cubic root of 2752960 is about 140.1522153958.

The spelling of 2752960 in words is "two million, seven hundred fifty-two thousand, nine hundred sixty".