2141142400 has 48 divisors (see below), whose sum is σ = 5289298740. Its totient is φ = 856455680.

The previous prime is 2141142373. The next prime is 2141142457. The reversal of 2141142400 is 42411412.

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 5 ways as a sum of consecutive naturals, for example, 331354 + ... + 337753.

Almost surely, 2^2141142400 is an apocalyptic number.

2141142400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2141142400 is an abundant number, since it is smaller than the sum of its proper divisors (3148156340).

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

2141142400 is an equidigital number, since it uses as much as digits as its factorization.

2141142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669131 (or 669114 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 2141142400 is about 46272.4799421859. The cubic root of 2141142400 is about 1288.8880107450. Note that the first 3 decimals are identical.

Adding to 2141142400 its reverse (42411412), we get a palindrome (2183553812).

The spelling of 2141142400 in words is "two billion, one hundred forty-one million, one hundred forty-two thousand, four hundred".