2141596800 has 384 divisors, whose sum is σ = 8959843200. Its totient is φ = 489369600.

The previous prime is 2141596781. The next prime is 2141596801. The reversal of 2141596800 is 86951412.

2141596800 is a `hidden beast` number, since 21 + 41 + 596 + 8 + 0 + 0 = 666.

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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141596801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 603030 + ... + 606570.

It is an arithmetic number, because the mean of its divisors is an integer number (23332925).

Almost surely, 2^2141596800 is an apocalyptic number.

2141596800 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 2141596800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4479921600).

2141596800 is an abundant number, since it is smaller than the sum of its proper divisors (6818246400).

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

2141596800 is a wasteful number, since it uses less digits than its factorization.

2141596800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3581 (or 3558 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 2141596800 is about 46277.3897275981. The cubic root of 2141596800 is about 1288.9791815900.

The spelling of 2141596800 in words is "two billion, one hundred forty-one million, five hundred ninety-six thousand, eight hundred".