1960980000 has 720 divisors, whose sum is σ = 8077164480. Its totient is φ = 413952000.

The previous prime is 1960979963. The next prime is 1960980031. The reversal of 1960980000 is 890691.

It is a happy number.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 67619986 + ... + 67620014.

It is an arithmetic number, because the mean of its divisors is an integer number (11218284).

Almost surely, 2^1960980000 is an apocalyptic number.

1960980000 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 1960980000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4038582240).

1960980000 is an abundant number, since it is smaller than the sum of its proper divisors (6116184480).

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

1960980000 is a wasteful number, since it uses less digits than its factorization.

1960980000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 1960980000 is about 44282.9538310172. The cubic root of 1960980000 is about 1251.6734918735.

The spelling of 1960980000 in words is "one billion, nine hundred sixty million, nine hundred eighty thousand".