2428229664 has 120 divisors (see below), whose sum is σ = 8161610688. Its totient is φ = 693774720.

The previous prime is 2428229581. The next prime is 2428229677. The reversal of 2428229664 is 4669228242.

2428229664 is a `hidden beast` number, since 24 + 282 + 296 + 64 = 666.

It is a super-2 number, since 2×2428229664² = 11792598602259105792, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 48772 + ... + 85059.

Almost surely, 2^2428229664 is an apocalyptic number.

2428229664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2428229664 is an abundant number, since it is smaller than the sum of its proper divisors (5733381024).

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

2428229664 is a wasteful number, since it uses less digits than its factorization.

2428229664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133860 (or 133843 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 2428229664 is about 49277.0703674640. The cubic root of 2428229664 is about 1344.0948593761.

The spelling of 2428229664 in words is "two billion, four hundred twenty-eight million, two hundred twenty-nine thousand, six hundred sixty-four".