1995978240 has 320 divisors, whose sum is σ = 7212395520. Its totient is φ = 523100160.

The previous prime is 1995978181. The next prime is 1995978269. The reversal of 1995978240 is 428795991.

1995978240 is a `hidden beast` number, since 1 + 9 + 9 + 597 + 8 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4630825 + ... + 4631255.

It is an arithmetic number, because the mean of its divisors is an integer number (22538736).

Almost surely, 2^1995978240 is an apocalyptic number.

1995978240 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 1995978240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3606197760).

1995978240 is an abundant number, since it is smaller than the sum of its proper divisors (5216417280).

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

1995978240 is an equidigital number, since it uses as much as digits as its factorization.

1995978240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The square root of 1995978240 is about 44676.3722788679. The cubic root of 1995978240 is about 1259.0759665075.

The spelling of 1995978240 in words is "one billion, nine hundred ninety-five million, nine hundred seventy-eight thousand, two hundred forty".