2429282016 has 360 divisors, whose sum is σ = 8592889536. Its totient is φ = 670602240.

The previous prime is 2429282003. The next prime is 2429282039. The reversal of 2429282016 is 6102829242.

2429282016 is a `hidden beast` number, since 2 + 429 + 28 + 201 + 6 = 666.

It is a super-2 number, since 2×2429282016² = 11802822226522048512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3936940 + ... + 3937556.

Almost surely, 2^2429282016 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 2429282016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4296444768).

2429282016 is an abundant number, since it is smaller than the sum of its proper divisors (6163607520).

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

2429282016 is a wasteful number, since it uses less digits than its factorization.

2429282016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2429282016 is about 49287.7471183255. The cubic root of 2429282016 is about 1344.2890003518.

The spelling of 2429282016 in words is "two billion, four hundred twenty-nine million, two hundred eighty-two thousand, sixteen".