2979840 has 96 divisors (see below), whose sum is σ = 9631440. Its totient is φ = 786432.

The previous prime is 2979833. The next prime is 2979841. The reversal of 2979840 is 489792.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2979841) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30672 + ... + 30768.

2^2979840 is an apocalyptic number.

2979840 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 2979840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4815720).

2979840 is an abundant number, since it is smaller than the sum of its proper divisors (6651600).

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

2979840 is an equidigital number, since it uses as much as digits as its factorization.

2979840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 2979840 is about 1726.2213067854. The cubic root of 2979840 is about 143.9011667500.

The spelling of 2979840 in words is "two million, nine hundred seventy-nine thousand, eight hundred forty".