2780181840 has 160 divisors (see below), whose sum is σ = 9113702400. Its totient is φ = 699148800.

The previous prime is 2780181829. The next prime is 2780181857. The reversal of 2780181840 is 481810872.

It is a happy number.

It is a super-2 number, since 2×2780181840² = 15458822126931571200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1088565 + ... + 1091115.

It is an arithmetic number, because the mean of its divisors is an integer number (56960640).

Almost surely, 2^2780181840 is an apocalyptic number.

2780181840 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 2780181840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4556851200).

2780181840 is an abundant number, since it is smaller than the sum of its proper divisors (6333520560).

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

2780181840 is a wasteful number, since it uses less digits than its factorization.

2780181840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2825 (or 2819 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 39.

The square root of 2780181840 is about 52727.4296737476. The cubic root of 2780181840 is about 1406.1265248228.

The spelling of 2780181840 in words is "two billion, seven hundred eighty million, one hundred eighty-one thousand, eight hundred forty".