1962213120 has 288 divisors, whose sum is σ = 7958845440. Its totient is φ = 448450560.

The previous prime is 1962213103. The next prime is 1962213133. The reversal of 1962213120 is 213122691.

1962213120 is a `hidden beast` number, since 1 + 9 + 622 + 1 + 31 + 2 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 237865 + ... + 245975.

It is an arithmetic number, because the mean of its divisors is an integer number (27634880).

Almost surely, 2^1962213120 is an apocalyptic number.

1962213120 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 1962213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3979422720).

1962213120 is an abundant number, since it is smaller than the sum of its proper divisors (5996632320).

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

1962213120 is an equidigital number, since it uses as much as digits as its factorization.

1962213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8148 (or 8128 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1962213120 is about 44296.8748333333. The cubic root of 1962213120 is about 1251.9357995299.

The spelling of 1962213120 in words is "one billion, nine hundred sixty-two million, two hundred thirteen thousand, one hundred twenty".