2924768 has 48 divisors (see below), whose sum is σ = 7185024. Its totient is φ = 1138560.

The previous prime is 2924729. The next prime is 2924777. The reversal of 2924768 is 8674292.

It is a d-powerful number, because it can be written as 2⁹ + 9³ + 2²¹ + 4⁵ + 7⁷ + 6⁴ + 8³ .

It is a congruent number.

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, 1871 + ... + 3057.

It is an arithmetic number, because the mean of its divisors is an integer number (149688).

2^2924768 is an apocalyptic number.

2924768 is a gapful number since it is divisible by the number (28) 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 2924768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3592512).

2924768 is an abundant number, since it is smaller than the sum of its proper divisors (4260256).

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

2924768 is a wasteful number, since it uses less digits than its factorization.

2924768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1215 (or 1207 counting only the distinct ones).

The product of its digits is 48384, while the sum is 38.

The square root of 2924768 is about 1710.1953104836. The cubic root of 2924768 is about 143.0091441167.

The spelling of 2924768 in words is "two million, nine hundred twenty-four thousand, seven hundred sixty-eight".