1953945872 has 40 divisors (see below), whose sum is σ = 3951889920. Its totient is φ = 934813440.

The previous prime is 1953945871. The next prime is 1953945937. The reversal of 1953945872 is 2785493591.

It is not an unprimeable number, because it can be changed into a prime (1953945871) 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, 22013 + ... + 66275.

It is an arithmetic number, because the mean of its divisors is an integer number (98797248).

Almost surely, 2^1953945872 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 1953945872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1975944960).

1953945872 is an abundant number, since it is smaller than the sum of its proper divisors (1997944048).

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

1953945872 is a wasteful number, since it uses less digits than its factorization.

1953945872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44391 (or 44385 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 53.

The square root of 1953945872 is about 44203.4599550759. The cubic root of 1953945872 is about 1250.1750948323.

The spelling of 1953945872 in words is "one billion, nine hundred fifty-three million, nine hundred forty-five thousand, eight hundred seventy-two".