2914968 has 32 divisors (see below), whose sum is σ = 8328960. Its totient is φ = 832800.

The previous prime is 2914957. The next prime is 2914979. The reversal of 2914968 is 8694192.

2914968 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 (2914957) and next prime (2914979).

It is a congruent number.

It is an unprimeable number.

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, 8508 + ... + 8843.

It is an arithmetic number, because the mean of its divisors is an integer number (260280).

2^2914968 is an apocalyptic number.

2914968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2914968 is an abundant number, since it is smaller than the sum of its proper divisors (5413992).

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

2914968 is a wasteful number, since it uses less digits than its factorization.

2914968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17367 (or 17363 counting only the distinct ones).

The product of its digits is 31104, while the sum is 39.

The square root of 2914968 is about 1707.3277365521. The cubic root of 2914968 is about 142.8492388008.

The spelling of 2914968 in words is "two million, nine hundred fourteen thousand, nine hundred sixty-eight".