2429672 has 32 divisors (see below), whose sum is σ = 5332800. Its totient is φ = 1016064.

The previous prime is 2429671. The next prime is 2429681. The reversal of 2429672 is 2769242.

It is a d-powerful number, because it can be written as 2⁷ + 4⁹ + 2¹³ + 9⁶ + 6⁷ + 7⁷ + 2¹⁹ .

It is not an unprimeable number, because it can be changed into a prime (2429671) 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, 1904 + ... + 2912.

It is an arithmetic number, because the mean of its divisors is an integer number (166650).

2^2429672 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 2429672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2666400).

2429672 is an abundant number, since it is smaller than the sum of its proper divisors (2903128).

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

2429672 is a wasteful number, since it uses less digits than its factorization.

2429672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065 (or 1061 counting only the distinct ones).

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

The square root of 2429672 is about 1558.7405172125. The cubic root of 2429672 is about 134.4360931502.

The spelling of 2429672 in words is "two million, four hundred twenty-nine thousand, six hundred seventy-two".