2429458920 has 160 divisors (see below), whose sum is σ = 9332294400. Its totient is φ = 555299712.

The previous prime is 2429458919. The next prime is 2429458931. The reversal of 2429458920 is 298549242.

2429458920 is a `hidden beast` number, since 2 + 42 + 9 + 4 + 589 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30880 + ... + 76239.

It is an arithmetic number, because the mean of its divisors is an integer number (58326840).

Almost surely, 2^2429458920 is an apocalyptic number.

2429458920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2429458920 is an abundant number, since it is smaller than the sum of its proper divisors (6902835480).

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

2429458920 is a wasteful number, since it uses less digits than its factorization.

2429458920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107149 (or 107136 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 2429458920 is about 49289.5416898960. The cubic root of 2429458920 is about 1344.3216306142.

The spelling of 2429458920 in words is "two billion, four hundred twenty-nine million, four hundred fifty-eight thousand, nine hundred twenty".