2141034400 has 72 divisors (see below), whose sum is σ = 5534294220. Its totient is φ = 806031360.

The previous prime is 2141034367. The next prime is 2141034439. The reversal of 2141034400 is 44301412.

It can be written as a sum of positive squares in 6 ways, for example, as 1513832464 + 627201936 = 38908^2 + 25044^2 .

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 11 ways as a sum of consecutive naturals, for example, 65115 + ... + 92314.

Almost surely, 2^2141034400 is an apocalyptic number.

2141034400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2141034400 is an abundant number, since it is smaller than the sum of its proper divisors (3393259820).

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

2141034400 is a wasteful number, since it uses less digits than its factorization.

2141034400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157466 (or 157453 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 2141034400 is about 46271.3129271258. The cubic root of 2141034400 is about 1288.8663397209.

Adding to 2141034400 its reverse (44301412), we get a palindrome (2185335812).

The spelling of 2141034400 in words is "two billion, one hundred forty-one million, thirty-four thousand, four hundred".