2001138048 has 576 divisors, whose sum is σ = 7555176720. Its totient is φ = 522547200.

The previous prime is 2001138043. The next prime is 2001138049. The reversal of 2001138048 is 8408311002.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001138043) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19813198 + ... + 19813298.

Almost surely, 2^2001138048 is an apocalyptic number.

2001138048 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 2001138048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3777588360).

2001138048 is an abundant number, since it is smaller than the sum of its proper divisors (5554038672).

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

2001138048 is a wasteful number, since it uses less digits than its factorization.

2001138048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 2001138048 is about 44734.0815039272. The cubic root of 2001138048 is about 1260.1599796868.

The spelling of 2001138048 in words is "two billion, one million, one hundred thirty-eight thousand, forty-eight".