2952980 has 36 divisors (see below), whose sum is σ = 6560820. Its totient is φ = 1116288.

The previous prime is 2952977. The next prime is 2952991. The reversal of 2952980 is 892592.

It can be written as a sum of positive squares in 2 ways, for example, as 1976836 + 976144 = 1406^2 + 988^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2952980.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7016 + ... + 7424.

It is an arithmetic number, because the mean of its divisors is an integer number (182245).

2^2952980 is an apocalyptic number.

2952980 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 2952980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3280410).

2952980 is an abundant number, since it is smaller than the sum of its proper divisors (3607840).

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

2952980 is a wasteful number, since it uses less digits than its factorization.

2952980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 2952980 is about 1718.4236962984. The cubic root of 2952980 is about 143.4674905212.

The spelling of 2952980 in words is "two million, nine hundred fifty-two thousand, nine hundred eighty".