1980248760 has 480 divisors, whose sum is σ = 7865208000. Its totient is φ = 431488512.

The previous prime is 1980248747. The next prime is 1980248773. The reversal of 1980248760 is 678420891.

It is an interprime number because it is at equal distance from previous prime (1980248747) and next prime (1980248773).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 25066401 + ... + 25066479.

It is an arithmetic number, because the mean of its divisors is an integer number (16385850).

Almost surely, 2^1980248760 is an apocalyptic number.

1980248760 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 1980248760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3932604000).

1980248760 is an abundant number, since it is smaller than the sum of its proper divisors (5884959240).

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

1980248760 is a wasteful number, since it uses less digits than its factorization.

1980248760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 1980248760 is about 44499.9860674135. The cubic root of 1980248760 is about 1255.7598209387.

The spelling of 1980248760 in words is "one billion, nine hundred eighty million, two hundred forty-eight thousand, seven hundred sixty".