2429945995008 has 360 divisors, whose sum is σ = 7728873291216. Its totient is φ = 677315788800.

The previous prime is 2429945994989. The next prime is 2429945995069. The reversal of 2429945995008 is 8005995499242.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2429945995008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 75586618 + ... + 75618758.

Almost surely, 2^{2429945995008} is an apocalyptic number.

2429945995008 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 2429945995008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3864436645608).

2429945995008 is an abundant number, since it is smaller than the sum of its proper divisors (5298927296208).

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

2429945995008 is an frugal number, since it uses more digits than its factorization.

2429945995008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32229 (or 32194 counting only the distinct ones).

The product of its (nonzero) digits is 83980800, while the sum is 66.

The spelling of 2429945995008 in words is "two trillion, four hundred twenty-nine billion, nine hundred forty-five million, nine hundred ninety-five thousand, eight".