2429820 has 36 divisors (see below), whose sum is σ = 7371000. Its totient is φ = 647904.

The previous prime is 2429809. The next prime is 2429831. The reversal of 2429820 is 289242.

2429820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2429809) and next prime (2429831).

It is a tau number, because it is divible by the number of its divisors (36).

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 11 ways as a sum of consecutive naturals, for example, 6570 + ... + 6929.

It is an arithmetic number, because the mean of its divisors is an integer number (204750).

2^2429820 is an apocalyptic number.

2429820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2429820 is an abundant number, since it is smaller than the sum of its proper divisors (4941180).

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

2429820 is a wasteful number, since it uses less digits than its factorization.

2429820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13514 (or 13509 counting only the distinct ones).

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

The square root of 2429820 is about 1558.7879907159. The cubic root of 2429820 is about 134.4388227557.

It can be divided in two parts, 2429 and 820, that added together give a square (3249 = 57²).

The spelling of 2429820 in words is "two million, four hundred twenty-nine thousand, eight hundred twenty".