2141314400 has 36 divisors (see below), whose sum is σ = 5227485732. Its totient is φ = 856525440.

The previous prime is 2141314397. The next prime is 2141314403. The reversal of 2141314400 is 44131412.

It is an interprime number because it is at equal distance from previous prime (2141314397) and next prime (2141314403).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141314403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1337522 + ... + 1339121.

It is an arithmetic number, because the mean of its divisors is an integer number (145207937).

Almost surely, 2^2141314400 is an apocalyptic number.

2141314400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2141314400 is an abundant number, since it is smaller than the sum of its proper divisors (3086171332).

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

2141314400 is a wasteful number, since it uses less digits than its factorization.

2141314400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2676663 (or 2676650 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 2141314400 is about 46274.3384609656. The cubic root of 2141314400 is about 1288.9225223531.

Adding to 2141314400 its reverse (44131412), we get a palindrome (2185445812).

The spelling of 2141314400 in words is "two billion, one hundred forty-one million, three hundred fourteen thousand, four hundred".