1119002880 has 144 divisors (see below), whose sum is σ = 3589133184. Its totient is φ = 297123840.

The previous prime is 1119002879. The next prime is 1119002887. The reversal of 1119002880 is 882009111.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1119002887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1193772 + ... + 1194708.

It is an arithmetic number, because the mean of its divisors is an integer number (24924536).

Almost surely, 2^1119002880 is an apocalyptic number.

1119002880 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 1119002880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1794566592).

1119002880 is an abundant number, since it is smaller than the sum of its proper divisors (2470130304).

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

1119002880 is an equidigital number, since it uses as much as digits as its factorization.

1119002880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 30.

The square root of 1119002880 is about 33451.5004147796. The cubic root of 1119002880 is about 1038.1905419788.

The spelling of 1119002880 in words is "one billion, one hundred nineteen million, two thousand, eight hundred eighty".