2780141120 has 112 divisors (see below), whose sum is σ = 6813395568. Its totient is φ = 1079869440.

The previous prime is 2780141071. The next prime is 2780141171. The reversal of 2780141120 is 211410872.

It can be written as a sum of positive squares in 8 ways, for example, as 329495104 + 2450646016 = 18152^2 + 49504^2 .

It is a super-2 number, since 2×2780141120² = 15458369294229708800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2780141120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4106222 + ... + 4106898.

It is an arithmetic number, because the mean of its divisors is an integer number (60833889).

Almost surely, 2^2780141120 is an apocalyptic number.

2780141120 is a gapful number since it is divisible by the number (20) 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 2780141120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3406697784).

2780141120 is an abundant number, since it is smaller than the sum of its proper divisors (4033254448).

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

2780141120 is a wasteful number, since it uses less digits than its factorization.

2780141120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 26.

The square root of 2780141120 is about 52727.0435355520. The cubic root of 2780141120 is about 1406.1196598340.

Adding to 2780141120 its reverse (211410872), we get a palindrome (2991551992).

It can be divided in two parts, 27801 and 41120, that added together give a cube (68921 = 41³).

The spelling of 2780141120 in words is "two billion, seven hundred eighty million, one hundred forty-one thousand, one hundred twenty".