1980540408 has 192 divisors, whose sum is σ = 6317205120. Its totient is φ = 511660800.

The previous prime is 1980540391. The next prime is 1980540427. The reversal of 1980540408 is 8040450891.

1980540408 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3660618 + ... + 3661158.

It is an arithmetic number, because the mean of its divisors is an integer number (32902110).

Almost surely, 2^1980540408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1980540408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3158602560).

1980540408 is an abundant number, since it is smaller than the sum of its proper divisors (4336664712).

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

1980540408 is a wasteful number, since it uses less digits than its factorization.

1980540408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 1980540408 is about 44503.2628916128. The cubic root of 1980540408 is about 1255.8214667059.

The spelling of 1980540408 in words is "one billion, nine hundred eighty million, five hundred forty thousand, four hundred eight".