1930061952 has 768 divisors, whose sum is σ = 7834579200. Its totient is φ = 453869568.

The previous prime is 1930061869. The next prime is 1930061963. The reversal of 1930061952 is 2591600391.

1930061952 is a `hidden beast` number, since 1 + 9 + 30 + 0 + 619 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 101582199 + ... + 101582217.

It is an arithmetic number, because the mean of its divisors is an integer number (10201275).

Almost surely, 2^1930061952 is an apocalyptic number.

1930061952 is a gapful number since it is divisible by the number (12) 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 1930061952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3917289600).

1930061952 is an abundant number, since it is smaller than the sum of its proper divisors (5904517248).

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

1930061952 is a wasteful number, since it uses less digits than its factorization.

1930061952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 1930061952 is about 43932.4703607707. The cubic root of 1930061952 is about 1245.0603889999.

The spelling of 1930061952 in words is "one billion, nine hundred thirty million, sixty-one thousand, nine hundred fifty-two".