1951971264 has 112 divisors (see below), whose sum is σ = 5782909440. Its totient is φ = 645615360.

The previous prime is 1951971253. The next prime is 1951971293. The reversal of 1951971264 is 4621791591.

1951971264 is a `hidden beast` number, since 1 + 9 + 519 + 7 + 126 + 4 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 222057 + ... + 230679.

It is an arithmetic number, because the mean of its divisors is an integer number (51633120).

Almost surely, 2^1951971264 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 1951971264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2891454720).

1951971264 is an abundant number, since it is smaller than the sum of its proper divisors (3830938176).

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

1951971264 is a wasteful number, since it uses less digits than its factorization.

1951971264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8775 (or 8759 counting only the distinct ones).

The product of its digits is 136080, while the sum is 45.

The square root of 1951971264 is about 44181.1188631524. The cubic root of 1951971264 is about 1249.7538211733.

The spelling of 1951971264 in words is "one billion, nine hundred fifty-one million, nine hundred seventy-one thousand, two hundred sixty-four".