2040048000 has 384 divisors, whose sum is σ = 7579203840. Its totient is φ = 525312000.

The previous prime is 2040047981. The next prime is 2040048013. The reversal of 2040048000 is 8400402.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4463772 + ... + 4464228.

It is an arithmetic number, because the mean of its divisors is an integer number (19737510).

Almost surely, 2^2040048000 is an apocalyptic number.

2040048000 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 2040048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3789601920).

2040048000 is an abundant number, since it is smaller than the sum of its proper divisors (5539155840).

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

2040048000 is a wasteful number, since it uses less digits than its factorization.

2040048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2040048000 is about 45166.8905283505. The cubic root of 2040048000 is about 1268.2750881766.

Adding to 2040048000 its reverse (8400402), we get a palindrome (2048448402).

The spelling of 2040048000 in words is "two billion, forty million, forty-eight thousand".