2978960 has 40 divisors (see below), whose sum is σ = 7231680. Its totient is φ = 1139072.

The previous prime is 2978959. The next prime is 2978977. The reversal of 2978960 is 698792.

It is a tau number, because it is divible by the number of its divisors (40).

It is a plaindrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1031 + ... + 2649.

It is an arithmetic number, because the mean of its divisors is an integer number (180792).

2^2978960 is an apocalyptic number.

2978960 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 2978960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3615840).

2978960 is an abundant number, since it is smaller than the sum of its proper divisors (4252720).

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

2978960 is a wasteful number, since it uses less digits than its factorization.

2978960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1655 (or 1649 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 41.

The square root of 2978960 is about 1725.9663959649. The cubic root of 2978960 is about 143.8869998267.

The spelling of 2978960 in words is "two million, nine hundred seventy-eight thousand, nine hundred sixty".