1952887104 has 224 divisors, whose sum is σ = 6947976960. Its totient is φ = 525090816.

The previous prime is 1952887103. The next prime is 1952887109. The reversal of 1952887104 is 4017882591.

1952887104 is a `hidden beast` number, since 19 + 528 + 8 + 7 + 104 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 1952887104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1952887103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200884 + ... + 210380.

Almost surely, 2^1952887104 is an apocalyptic number.

1952887104 is a gapful number since it is divisible by the number (14) 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 1952887104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3473988480).

1952887104 is an abundant number, since it is smaller than the sum of its proper divisors (4995089856).

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

1952887104 is a wasteful number, since it uses less digits than its factorization.

1952887104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9542 (or 9526 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The square root of 1952887104 is about 44191.4822561996. The cubic root of 1952887104 is about 1249.9492467927.

The spelling of 1952887104 in words is "one billion, nine hundred fifty-two million, eight hundred eighty-seven thousand, one hundred four".