2806451440 has 80 divisors (see below), whose sum is σ = 7035487200. Its totient is φ = 1034966016.

The previous prime is 2806451437. The next prime is 2806451441. The reversal of 2806451440 is 441546082.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 2806451396 and 2806451405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2806451441) 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, 1641306 + ... + 1643014.

It is an arithmetic number, because the mean of its divisors is an integer number (87943590).

Almost surely, 2^2806451440 is an apocalyptic number.

2806451440 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 2806451440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3517743600).

2806451440 is an abundant number, since it is smaller than the sum of its proper divisors (4229035760).

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

2806451440 is a wasteful number, since it uses less digits than its factorization.

2806451440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3314 (or 3308 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The square root of 2806451440 is about 52975.9515251968. The cubic root of 2806451440 is about 1410.5414214361.

The spelling of 2806451440 in words is "two billion, eight hundred six million, four hundred fifty-one thousand, four hundred forty".