2141504000 has 80 divisors (see below), whose sum is σ = 5340133656. Its totient is φ = 856576000.

The previous prime is 2141503979. The next prime is 2141504023. The reversal of 2141504000 is 4051412.

It can be written as a sum of positive squares in 4 ways, for example, as 628605184 + 1512898816 = 25072^2 + 38896^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 2141504000.

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 7 ways as a sum of consecutive naturals, for example, 47270 + ... + 80730.

Almost surely, 2^2141504000 is an apocalyptic number.

2141504000 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 2141504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2670066828).

2141504000 is an abundant number, since it is smaller than the sum of its proper divisors (3198629656).

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

2141504000 is an frugal number, since it uses more digits than its factorization.

2141504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33494 (or 33468 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 2141504000 is about 46276.3870672722. The cubic root of 2141504000 is about 1288.9605632401.

Adding to 2141504000 its reverse (4051412), we get a palindrome (2145555412).

The spelling of 2141504000 in words is "two billion, one hundred forty-one million, five hundred four thousand".