2429641368 has 384 divisors, whose sum is σ = 8635760640. Its totient is φ = 598752000.

The previous prime is 2429641307. The next prime is 2429641421. The reversal of 2429641368 is 8631469242.

2429641368 is a `hidden beast` number, since 242 + 9 + 6 + 41 + 368 = 666.

It is a super-2 number, since 2×2429641368² = 11806314354193822848, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11514783 + ... + 11514993.

It is an arithmetic number, because the mean of its divisors is an integer number (22488960).

Almost surely, 2^2429641368 is an apocalyptic number.

2429641368 is a gapful number since it is divisible by the number (28) 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 2429641368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4317880320).

2429641368 is an abundant number, since it is smaller than the sum of its proper divisors (6206119272).

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

2429641368 is a wasteful number, since it uses less digits than its factorization.

2429641368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 332 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 2429641368 is about 49291.3924331622. The cubic root of 2429641368 is about 1344.3552818182.

The spelling of 2429641368 in words is "two billion, four hundred twenty-nine million, six hundred forty-one thousand, three hundred sixty-eight".