1933648962 has 128 divisors (see below), whose sum is σ = 4896460800. Its totient is φ = 496336896.

The previous prime is 1933648957. The next prime is 1933648993. The reversal of 1933648962 is 2698463391.

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 63 ways as a sum of consecutive naturals, for example, 2514114 + ... + 2514882.

It is an arithmetic number, because the mean of its divisors is an integer number (38253600).

Almost surely, 2^1933648962 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1933648962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2448230400).

1933648962 is an abundant number, since it is smaller than the sum of its proper divisors (2962811838).

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

1933648962 is a wasteful number, since it uses less digits than its factorization.

1933648962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960.

The product of its digits is 1679616, while the sum is 51.

The square root of 1933648962 is about 43973.2755432206. The cubic root of 1933648962 is about 1245.8312243969.

The spelling of 1933648962 in words is "one billion, nine hundred thirty-three million, six hundred forty-eight thousand, nine hundred sixty-two".