2429551872 has 216 divisors, whose sum is σ = 8092768320. Its totient is φ = 692797440.

The previous prime is 2429551841. The next prime is 2429551877. The reversal of 2429551872 is 2781559242.

2429551872 is a `hidden beast` number, since 2 + 4 + 29 + 551 + 8 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2429551877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 428029 + ... + 433667.

It is an arithmetic number, because the mean of its divisors is an integer number (37466520).

Almost surely, 2^2429551872 is an apocalyptic number.

2429551872 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2429551872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4046384160).

2429551872 is an abundant number, since it is smaller than the sum of its proper divisors (5663216448).

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

2429551872 is a wasteful number, since it uses less digits than its factorization.

2429551872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5689 (or 5672 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The square root of 2429551872 is about 49290.4845989568. The cubic root of 2429551872 is about 1344.3387751437.

It can be divided in two parts, 24295 and 51872, that added together give a palindrome (76167).

The spelling of 2429551872 in words is "two billion, four hundred twenty-nine million, five hundred fifty-one thousand, eight hundred seventy-two".