2194998624 has 288 divisors, whose sum is σ = 7814124864. Its totient is φ = 568995840.

The previous prime is 2194998599. The next prime is 2194998649. The reversal of 2194998624 is 4268994912.

2194998624 is a `hidden beast` number, since 2 + 1 + 9 + 4 + 9 + 9 + 8 + 624 = 666.

It is an interprime number because it is at equal distance from previous prime (2194998599) and next prime (2194998649).

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1598002 + ... + 1599374.

It is an arithmetic number, because the mean of its divisors is an integer number (27132378).

Almost surely, 2^2194998624 is an apocalyptic number.

2194998624 is a gapful number since it is divisible by the number (24) 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 2194998624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3907062432).

2194998624 is an abundant number, since it is smaller than the sum of its proper divisors (5619126240).

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

2194998624 is a wasteful number, since it uses less digits than its factorization.

2194998624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1470 (or 1459 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 2194998624 is about 46850.8124155814. The cubic root of 2194998624 is about 1299.6051313548.

The spelling of 2194998624 in words is "two billion, one hundred ninety-four million, nine hundred ninety-eight thousand, six hundred twenty-four".