2924672 has 32 divisors (see below), whose sum is σ = 5925180. Its totient is φ = 1437696.

The previous prime is 2924641. The next prime is 2924711. The reversal of 2924672 is 2764292.

It can be written as a sum of positive squares in 2 ways, for example, as 2637376 + 287296 = 1624^2 + 536^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a d-powerful number, because it can be written as 2³ + 9⁴ + 2¹⁹ + 4⁷ + 6⁷ + 7³ + 2²¹ .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9188 + ... + 9500.

2^2924672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2924672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2962590).

2924672 is an abundant number, since it is smaller than the sum of its proper divisors (3000508).

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

2924672 is an equidigital number, since it uses as much as digits as its factorization.

2924672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 388 counting only the distinct ones).

The product of its digits is 12096, while the sum is 32.

The square root of 2924672 is about 1710.1672432835. The cubic root of 2924672 is about 143.0075794310.

It can be divided in two parts, 292 and 4672, that multiplied together give a square (1364224 = 1168²).

The spelling of 2924672 in words is "two million, nine hundred twenty-four thousand, six hundred seventy-two".