2214051000 has 512 divisors, whose sum is σ = 8626176000. Its totient is φ = 461376000.

The previous prime is 2214050999. The next prime is 2214051017. The reversal of 2214051000 is 1504122.

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

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 127 ways as a sum of consecutive naturals, for example, 12368911 + ... + 12369089.

It is an arithmetic number, because the mean of its divisors is an integer number (16848000).

Almost surely, 2^2214051000 is an apocalyptic number.

2214051000 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 2214051000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4313088000).

2214051000 is an abundant number, since it is smaller than the sum of its proper divisors (6412125000).

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

2214051000 is a wasteful number, since it uses less digits than its factorization.

2214051000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 2214051000 is about 47053.7033611596. The cubic root of 2214051000 is about 1303.3544532669.

Adding to 2214051000 its reverse (1504122), we get a palindrome (2215555122).

The spelling of 2214051000 in words is "two billion, two hundred fourteen million, fifty-one thousand".