2928640 has 104 divisors (see below), whose sum is σ = 8256528. Its totient is φ = 983040.

The previous prime is 2928581. The next prime is 2928647. The reversal of 2928640 is 468292.

It is a tau number, because it is divible by the number of its divisors (104).

It is not an unprimeable number, because it can be changed into a prime (2928647) 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, 225274 + ... + 225286.

2^2928640 is an apocalyptic number.

2928640 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 2928640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4128264).

2928640 is an abundant number, since it is smaller than the sum of its proper divisors (5327888).

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

2928640 is a wasteful number, since it uses less digits than its factorization.

2928640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 2928640 is about 1711.3269705115. The cubic root of 2928640 is about 143.0722245879.

The spelling of 2928640 in words is "two million, nine hundred twenty-eight thousand, six hundred forty".