2141364000 has 96 divisors (see below), whose sum is σ = 7015147776. Its totient is φ = 571027200.

The previous prime is 2141363999. The next prime is 2141364007. The reversal of 2141364000 is 4631412.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (2141364007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77224 + ... + 101223.

It is an arithmetic number, because the mean of its divisors is an integer number (73074456).

Almost surely, 2^2141364000 is an apocalyptic number.

2141364000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2141364000 is an abundant number, since it is smaller than the sum of its proper divisors (4873783776).

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

2141364000 is a wasteful number, since it uses less digits than its factorization.

2141364000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178475 (or 178457 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2141364000 is about 46274.8743920499. The cubic root of 2141364000 is about 1288.9324741944.

Adding to 2141364000 its reverse (4631412), we get a palindrome (2145995412).

The spelling of 2141364000 in words is "two billion, one hundred forty-one million, three hundred sixty-four thousand".