2141456200 has 48 divisors (see below), whose sum is σ = 5361883380. Its totient is φ = 790690560.

The previous prime is 2141456143. The next prime is 2141456203. The reversal of 2141456200 is 26541412.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 404733924 + 1736722276 = 20118^2 + 41674^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (2141456203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 409219 + ... + 414418.

Almost surely, 2^2141456200 is an apocalyptic number.

2141456200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2141456200 is an abundant number, since it is smaller than the sum of its proper divisors (3220427180).

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

2141456200 is a wasteful number, since it uses less digits than its factorization.

2141456200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823666 (or 823657 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 2141456200 is about 46275.8706022912. The cubic root of 2141456200 is about 1288.9509729750.

Adding to 2141456200 its reverse (26541412), we get a palindrome (2167997612).

It can be divided in two parts, 2 and 141456200, that multiplied together give a square (282912400 = 16820²).

The spelling of 2141456200 in words is "two billion, one hundred forty-one million, four hundred fifty-six thousand, two hundred".