1996980480 has 720 divisors, whose sum is σ = 8333829504. Its totient is φ = 451215360.

The previous prime is 1996980473. The next prime is 1996980499. The reversal of 1996980480 is 840896991.

It is a tau number, because it is divible by the number of its divisors (720).

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

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 79 ways as a sum of consecutive naturals, for example, 19388109 + ... + 19388211.

Almost surely, 2^1996980480 is an apocalyptic number.

1996980480 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 1996980480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4166914752).

1996980480 is an abundant number, since it is smaller than the sum of its proper divisors (6336849024).

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

1996980480 is a wasteful number, since it uses less digits than its factorization.

1996980480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The square root of 1996980480 is about 44687.5875383758. The cubic root of 1996980480 is about 1259.2866710663.

The spelling of 1996980480 in words is "one billion, nine hundred ninety-six million, nine hundred eighty thousand, four hundred eighty".