1901206080 has 280 divisors, whose sum is σ = 6931746360. Its totient is φ = 494346240.

The previous prime is 1901206079. The next prime is 1901206127. The reversal of 1901206080 is 806021091.

It can be written as a sum of positive squares in 4 ways, for example, as 181279296 + 1719926784 = 13464^2 + 41472^2 .

It is a super-2 number, since 2×1901206080² = 7229169117257932800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1061826 + ... + 1063614.

It is an arithmetic number, because the mean of its divisors is an integer number (24756237).

Almost surely, 2^1901206080 is an apocalyptic number.

1901206080 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 1901206080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3465873180).

1901206080 is an abundant number, since it is smaller than the sum of its proper divisors (5030540280).

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

1901206080 is a wasteful number, since it uses less digits than its factorization.

1901206080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1859 (or 1840 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1901206080 is about 43602.8219270267. The cubic root of 1901206080 is about 1238.8243452946.

The spelling of 1901206080 in words is "one billion, nine hundred one million, two hundred six thousand, eighty".