1952788992 has 480 divisors, whose sum is σ = 6966220800. Its totient is φ = 474439680.

The previous prime is 1952788933. The next prime is 1952789029. The reversal of 1952788992 is 2998872591.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 24718809 + ... + 24718887.

It is an arithmetic number, because the mean of its divisors is an integer number (14512960).

Almost surely, 2^1952788992 is an apocalyptic number.

1952788992 is a gapful number since it is divisible by the number (12) 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 1952788992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3483110400).

1952788992 is an abundant number, since it is smaller than the sum of its proper divisors (5013431808).

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

1952788992 is a wasteful number, since it uses less digits than its factorization.

1952788992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 121 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 60.

The square root of 1952788992 is about 44190.3721640812. The cubic root of 1952788992 is about 1249.9283141823.

The spelling of 1952788992 in words is "one billion, nine hundred fifty-two million, seven hundred eighty-eight thousand, nine hundred ninety-two".