1962105152 has 56 divisors (see below), whose sum is σ = 4467758400. Its totient is φ = 837504000.

The previous prime is 1962105151. The next prime is 1962105161. The reversal of 1962105152 is 2515012691.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1962105151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103724 + ... + 121172.

It is an arithmetic number, because the mean of its divisors is an integer number (79781400).

Almost surely, 2^1962105152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1962105152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2233879200).

1962105152 is an abundant number, since it is smaller than the sum of its proper divisors (2505653248).

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

1962105152 is a wasteful number, since it uses less digits than its factorization.

1962105152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17719 (or 17709 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 32.

The square root of 1962105152 is about 44295.6561301444. The cubic root of 1962105152 is about 1251.9128371102.

The spelling of 1962105152 in words is "one billion, nine hundred sixty-two million, one hundred five thousand, one hundred fifty-two".