2762980 has 48 divisors (see below), whose sum is σ = 6672960. Its totient is φ = 950400.

The previous prime is 2762957. The next prime is 2763001. The reversal of 2762980 is 892672.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3850 + ... + 4510.

It is an arithmetic number, because the mean of its divisors is an integer number (139020).

2^2762980 is an apocalyptic number.

2762980 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 2762980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3336480).

2762980 is an abundant number, since it is smaller than the sum of its proper divisors (3909980).

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

2762980 is a wasteful number, since it uses less digits than its factorization.

2762980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 2762980 is about 1662.2214052286. The cubic root of 2762980 is about 140.3220477280.

The spelling of 2762980 in words is "two million, seven hundred sixty-two thousand, nine hundred eighty".