1980419280 has 240 divisors, whose sum is σ = 7389169920. Its totient is φ = 436982784.

The previous prime is 1980419201. The next prime is 1980419303. The reversal of 1980419280 is 829140891.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 338137 + ... + 343943.

It is an arithmetic number, because the mean of its divisors is an integer number (30788208).

Almost surely, 2^1980419280 is an apocalyptic number.

1980419280 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 1980419280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3694584960).

1980419280 is an abundant number, since it is smaller than the sum of its proper divisors (5408750640).

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

1980419280 is a wasteful number, since it uses less digits than its factorization.

1980419280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5866 (or 5853 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 42.

The square root of 1980419280 is about 44501.9019818255. The cubic root of 1980419280 is about 1255.7958645616.

The spelling of 1980419280 in words is "one billion, nine hundred eighty million, four hundred nineteen thousand, two hundred eighty".