2912980 has 24 divisors (see below), whose sum is σ = 6991488. Its totient is φ = 998688.

The previous prime is 2912971. The next prime is 2912989. The reversal of 2912980 is 892192.

2912980 = 200² + 201² + ... + 255².

2912980 is digitally balanced in base 2, 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 (2912971) and next prime (2912989).

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2912989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10264 + ... + 10543.

It is an arithmetic number, because the mean of its divisors is an integer number (291312).

2^2912980 is an apocalyptic number.

2912980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2912980 is an abundant number, since it is smaller than the sum of its proper divisors (4078508).

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

2912980 is a wasteful number, since it uses less digits than its factorization.

2912980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20823 (or 20821 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 2912980 is about 1706.7454408904. The cubic root of 2912980 is about 142.8167571555.

The spelling of 2912980 in words is "two million, nine hundred twelve thousand, nine hundred eighty".