2144668400 has 60 divisors (see below), whose sum is σ = 5888654352. Its totient is φ = 735313920.

The previous prime is 2144668397. The next prime is 2144668403. The reversal of 2144668400 is 48664412.

It is an interprime number because it is at equal distance from previous prime (2144668397) and next prime (2144668403).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144668403) 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, 380177 + ... + 385776.

Almost surely, 2^2144668400 is an apocalyptic number.

2144668400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2144668400 is an abundant number, since it is smaller than the sum of its proper divisors (3743985952).

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

2144668400 is a wasteful number, since it uses less digits than its factorization.

2144668400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765978 (or 765967 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The square root of 2144668400 is about 46310.5646694143. The cubic root of 2144668400 is about 1289.5951296388.

The spelling of 2144668400 in words is "two billion, one hundred forty-four million, six hundred sixty-eight thousand, four hundred".