1997920512 has 432 divisors, whose sum is σ = 7298061120. Its totient is φ = 535707648.

The previous prime is 1997920511. The next prime is 1997920513. The reversal of 1997920512 is 2150297991.

It is an interprime number because it is at equal distance from previous prime (1997920511) and next prime (1997920513).

It is a tau number, because it is divible by the number of its divisors (432).

It is not an unprimeable number, because it can be changed into a prime (1997920511) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5757523 + ... + 5757869.

It is an arithmetic number, because the mean of its divisors is an integer number (16893660).

Almost surely, 2^1997920512 is an apocalyptic number.

1997920512 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 1997920512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3649030560).

1997920512 is an abundant number, since it is smaller than the sum of its proper divisors (5300140608).

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

1997920512 is a wasteful number, since it uses less digits than its factorization.

1997920512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 45.

The square root of 1997920512 is about 44698.1041208685. The cubic root of 1997920512 is about 1259.4842333500.

The spelling of 1997920512 in words is "one billion, nine hundred ninety-seven million, nine hundred twenty thousand, five hundred twelve".