2928240 has 180 divisors, whose sum is σ = 11577384. Its totient is φ = 661248.

The previous prime is 2928227. The next prime is 2928251. The reversal of 2928240 is 428292.

2928240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

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 35 ways as a sum of consecutive naturals, for example, 35239 + ... + 35321.

2^2928240 is an apocalyptic number.

2928240 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 2928240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5788692).

2928240 is an abundant number, since it is smaller than the sum of its proper divisors (8649144).

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

2928240 is a wasteful number, since it uses less digits than its factorization.

2928240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2928240 is about 1711.2100981469. The cubic root of 2928240 is about 143.0657105864.

The spelling of 2928240 in words is "two million, nine hundred twenty-eight thousand, two hundred forty".