2429952000 has 448 divisors, whose sum is σ = 9323368704. Its totient is φ = 550502400.

The previous prime is 2429951989. The next prime is 2429952013. The reversal of 2429952000 is 2599242.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21503944 + ... + 21504056.

Almost surely, 2^2429952000 is an apocalyptic number.

2429952000 is a gapful number since it is divisible by the number (20) 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 2429952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4661684352).

2429952000 is an abundant number, since it is smaller than the sum of its proper divisors (6893416704).

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

2429952000 is an equidigital number, since it uses as much as digits as its factorization.

2429952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 2429952000 is about 49294.5433085651. The cubic root of 2429952000 is about 1344.4125717513.

The spelling of 2429952000 in words is "two billion, four hundred twenty-nine million, nine hundred fifty-two thousand".