2352980 has 42 divisors (see below), whose sum is σ = 5764794. Its totient is φ = 806736.

The previous prime is 2352971. The next prime is 2352989. The reversal of 2352980 is 892532.

2352980 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2352971) and next prime (2352989).

It can be written as a sum of positive squares in only one way, i.e., 1882384 + 470596 = 1372^2 + 686^2 .

2352980 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2352989) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 336137 + ... + 336143.

It is an arithmetic number, because the mean of its divisors is an integer number (137257).

2^2352980 is an apocalyptic number.

2352980 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 2352980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2882397).

2352980 is an abundant number, since it is smaller than the sum of its proper divisors (3411814).

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

2352980 is an frugal number, since it uses more digits than its factorization.

2352980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 2352980 is about 1533.9426325649. The cubic root of 2352980 is about 133.0064632132.

The spelling of 2352980 in words is "two million, three hundred fifty-two thousand, nine hundred eighty".