1952319488 has 192 divisors, whose sum is σ = 4830658560. Its totient is φ = 770457600.

The previous prime is 1952319463. The next prime is 1952319517. The reversal of 1952319488 is 8849132591.

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, 10221473 + ... + 10221663.

It is an arithmetic number, because the mean of its divisors is an integer number (25159680).

Almost surely, 2^1952319488 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 1952319488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2415329280).

1952319488 is an abundant number, since it is smaller than the sum of its proper divisors (2878339072).

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

1952319488 is a wasteful number, since it uses less digits than its factorization.

1952319488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 254 counting only the distinct ones).

The product of its digits is 622080, while the sum is 50.

The square root of 1952319488 is about 44185.0595563704. The cubic root of 1952319488 is about 1249.8281338107.

The spelling of 1952319488 in words is "one billion, nine hundred fifty-two million, three hundred nineteen thousand, four hundred eighty-eight".