2214002400 has 144 divisors (see below), whose sum is σ = 7305876144. Its totient is φ = 582266880.

The previous prime is 2214002393. The next prime is 2214002437. The reversal of 2214002400 is 42004122.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2214002400.

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 23 ways as a sum of consecutive naturals, for example, 168882 + ... + 181518.

It is an arithmetic number, because the mean of its divisors is an integer number (50735251).

Almost surely, 2^2214002400 is an apocalyptic number.

2214002400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2214002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3652938072).

2214002400 is an abundant number, since it is smaller than the sum of its proper divisors (5091873744).

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

2214002400 is a wasteful number, since it uses less digits than its factorization.

2214002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12733 (or 12720 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 2214002400 is about 47053.1869271360. The cubic root of 2214002400 is about 1303.3449166769.

Adding to 2214002400 its reverse (42004122), we get a palindrome (2256006522).

The spelling of 2214002400 in words is "two billion, two hundred fourteen million, two thousand, four hundred".