2752680 has 128 divisors (see below), whose sum is σ = 9849600. Its totient is φ = 602112.

The previous prime is 2752679. The next prime is 2752697. The reversal of 2752680 is 862572.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a d-powerful number, because it can be written as 2¹⁷ + 7 + 5³ + 2¹⁹ + 6² + 8⁷ + 0 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24304 + ... + 24416.

It is an arithmetic number, because the mean of its divisors is an integer number (76950).

2^2752680 is an apocalyptic number.

2752680 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 2752680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4924800).

2752680 is an abundant number, since it is smaller than the sum of its proper divisors (7096920).

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

2752680 is a wasteful number, since it uses less digits than its factorization.

2752680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 2752680 is about 1659.1202488066. The cubic root of 2752680 is about 140.1474636678.

The spelling of 2752680 in words is "two million, seven hundred fifty-two thousand, six hundred eighty".