2141928600 has 384 divisors, whose sum is σ = 8131622400. Its totient is φ = 455270400.

The previous prime is 2141928559. The next prime is 2141928623. The reversal of 2141928600 is 68291412.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9353286 + ... + 9353514.

It is an arithmetic number, because the mean of its divisors is an integer number (21176100).

Almost surely, 2^2141928600 is an apocalyptic number.

2141928600 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 2141928600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4065811200).

2141928600 is an abundant number, since it is smaller than the sum of its proper divisors (5989693800).

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

2141928600 is a wasteful number, since it uses less digits than its factorization.

2141928600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 2141928600 is about 46280.9744927654. The cubic root of 2141928600 is about 1289.0457458171.

The spelling of 2141928600 in words is "two billion, one hundred forty-one million, nine hundred twenty-eight thousand, six hundred".