1901080272 has 320 divisors, whose sum is σ = 6399590400. Its totient is φ = 472614912.

The previous prime is 1901080271. The next prime is 1901080303. The reversal of 1901080272 is 2720801091.

It is a super-2 number, since 2×1901080272² = 7228212401175187968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1901080271) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 12758854 + ... + 12759002.

It is an arithmetic number, because the mean of its divisors is an integer number (19998720).

Almost surely, 2^1901080272 is an apocalyptic number.

1901080272 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 1901080272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3199795200).

1901080272 is an abundant number, since it is smaller than the sum of its proper divisors (4498510128).

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

1901080272 is a wasteful number, since it uses less digits than its factorization.

1901080272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 1901080272 is about 43601.3792442395. The cubic root of 1901080272 is about 1238.7970192281.

The spelling of 1901080272 in words is "one billion, nine hundred one million, eighty thousand, two hundred seventy-two".