2048499432000 has 672 divisors, whose sum is σ = 8456177493504. Its totient is φ = 463670784000.

The previous prime is 2048499431999. The next prime is 2048499432011. The reversal of 2048499432000 is 2349948402.

It is a happy number.

2048499432000 is a `hidden beast` number, since 20 + 484 + 99 + 43 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51892270 + ... + 51931730.

Almost surely, 2^{2048499432000} is an apocalyptic number.

2048499432000 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 2048499432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4228088746752).

2048499432000 is an abundant number, since it is smaller than the sum of its proper divisors (6407678061504).

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

2048499432000 is a wasteful number, since it uses less digits than its factorization.

2048499432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39604 (or 39581 counting only the distinct ones).

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

The spelling of 2048499432000 in words is "two trillion, forty-eight billion, four hundred ninety-nine million, four hundred thirty-two thousand".