1962442900 has 72 divisors (see below), whose sum is σ = 4654389600. Its totient is φ = 712272000.

The previous prime is 1962442891. The next prime is 1962442913. The reversal of 1962442900 is 92442691.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1962442900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 725751 + ... + 728449.

It is an arithmetic number, because the mean of its divisors is an integer number (64644300).

Almost surely, 2^1962442900 is an apocalyptic number.

1962442900 is a gapful number since it is divisible by the number (10) 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 1962442900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2327194800).

1962442900 is an abundant number, since it is smaller than the sum of its proper divisors (2691946700).

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

1962442900 is a wasteful number, since it uses less digits than its factorization.

1962442900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3385 (or 3378 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 1962442900 is about 44299.4683941015. The cubic root of 1962442900 is about 1251.9846658800.

The spelling of 1962442900 in words is "one billion, nine hundred sixty-two million, four hundred forty-two thousand, nine hundred".