2020214400 has 192 divisors, whose sum is σ = 6710522880. Its totient is φ = 534159360.

The previous prime is 2020214381. The next prime is 2020214401. The reversal of 2020214400 is 44120202.

It is a tau number, because it is divible by the number of its divisors (192).

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 2020214400.

It is not an unprimeable number, because it can be changed into a prime (2020214401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1218372 + ... + 1220028.

It is an arithmetic number, because the mean of its divisors is an integer number (34950640).

Almost surely, 2^2020214400 is an apocalyptic number.

2020214400 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 2020214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3355261440).

2020214400 is an abundant number, since it is smaller than the sum of its proper divisors (4690308480).

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

2020214400 is a wasteful number, since it uses less digits than its factorization.

2020214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1811 (or 1794 counting only the distinct ones).

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

The square root of 2020214400 is about 44946.7952138971. The cubic root of 2020214400 is about 1264.1515867979.

Adding to 2020214400 its reverse (44120202), we get a palindrome (2064334602).

The spelling of 2020214400 in words is "two billion, twenty million, two hundred fourteen thousand, four hundred".