1642224150 has 288 divisors, whose sum is σ = 5543216640. Its totient is φ = 339863040.

The previous prime is 1642224121. The next prime is 1642224161. The reversal of 1642224150 is 514222461.

1642224150 is a `hidden beast` number, since 1 + 642 + 2 + 2 + 4 + 15 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1375954 + ... + 1377146.

It is an arithmetic number, because the mean of its divisors is an integer number (19247280).

Almost surely, 2^1642224150 is an apocalyptic number.

1642224150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1642224150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2771608320).

1642224150 is an abundant number, since it is smaller than the sum of its proper divisors (3900992490).

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

1642224150 is a wasteful number, since it uses less digits than its factorization.

1642224150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1260 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 1642224150 is about 40524.3648932343. The cubic root of 1642224150 is about 1179.8065731978.

The spelling of 1642224150 in words is "one billion, six hundred forty-two million, two hundred twenty-four thousand, one hundred fifty".