1980351072 has 288 divisors, whose sum is σ = 6955048800. Its totient is φ = 545965056.

The previous prime is 1980351067. The next prime is 1980351077. The reversal of 1980351072 is 2701530891.

It is an interprime number because it is at equal distance from previous prime (1980351067) and next prime (1980351077).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1980351077) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1226938 + ... + 1228550.

It is an arithmetic number, because the mean of its divisors is an integer number (24149475).

Almost surely, 2^1980351072 is an apocalyptic number.

1980351072 is a gapful number since it is divisible by the number (12) 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 1980351072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3477524400).

1980351072 is an abundant number, since it is smaller than the sum of its proper divisors (4974697728).

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

1980351072 is a wasteful number, since it uses less digits than its factorization.

1980351072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1675 (or 1654 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 1980351072 is about 44501.1356259590. The cubic root of 1980351072 is about 1255.7814473607.

The spelling of 1980351072 in words is "one billion, nine hundred eighty million, three hundred fifty-one thousand, seventy-two".