1952501920 has 24 divisors (see below), whose sum is σ = 4612786164. Its totient is φ = 781000704.

The previous prime is 1952501909. The next prime is 1952501933. The reversal of 1952501920 is 291052591.

It can be written as a sum of positive squares in 2 ways, for example, as 1951165584 + 1336336 = 44172^2 + 1156^2 .

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

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 3 ways as a sum of consecutive naturals, for example, 6101409 + ... + 6101728.

Almost surely, 2^1952501920 is an apocalyptic number.

1952501920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1952501920 is an abundant number, since it is smaller than the sum of its proper divisors (2660284244).

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

1952501920 is a wasteful number, since it uses less digits than its factorization.

1952501920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12203152 (or 12203144 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 34.

The square root of 1952501920 is about 44187.1239163628. The cubic root of 1952501920 is about 1249.8670621292.

The spelling of 1952501920 in words is "one billion, nine hundred fifty-two million, five hundred one thousand, nine hundred twenty".