2047104000 has 264 divisors, whose sum is σ = 7381039848. Its totient is φ = 545587200.

The previous prime is 2047103969. The next prime is 2047104001. The reversal of 2047104000 is 4017402.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 88510464 + 1958593536 = 9408^2 + 44256^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2047104001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1151112 + ... + 1152888.

Almost surely, 2^2047104000 is an apocalyptic number.

2047104000 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 2047104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3690519924).

2047104000 is an abundant number, since it is smaller than the sum of its proper divisors (5333935848).

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

2047104000 is a wasteful number, since it uses less digits than its factorization.

2047104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1818 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 2047104000 is about 45244.9334180083. The cubic root of 2047104000 is about 1269.7356177707.

The spelling of 2047104000 in words is "two billion, forty-seven million, one hundred four thousand".