1952489782320 has 640 divisors, whose sum is σ = 7636208394240. Its totient is φ = 400898211840.

The previous prime is 1952489782307. The next prime is 1952489782339. The reversal of 1952489782320 is 232879842591.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 791441727 + ... + 791444193.

It is an arithmetic number, because the mean of its divisors is an integer number (11931575616).

Almost surely, 2^{1952489782320} is an apocalyptic number.

1952489782320 is a gapful number since it is divisible by the number (10) 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 1952489782320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3818104197120).

1952489782320 is an abundant number, since it is smaller than the sum of its proper divisors (5683718611920).

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

1952489782320 is a wasteful number, since it uses less digits than its factorization.

1952489782320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2993 (or 2987 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 60.

The spelling of 1952489782320 in words is "one trillion, nine hundred fifty-two billion, four hundred eighty-nine million, seven hundred eighty-two thousand, three hundred twenty".