2144855040 has 176 divisors, whose sum is σ = 6897571200. Its totient is φ = 568852480.

The previous prime is 2144855023. The next prime is 2144855077. The reversal of 2144855040 is 405584412.

It is a happy number.

It is a super-2 number, since 2×2144855040² = 9200806285226803200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2144854992 and 2144855010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4776736 + ... + 4777184.

Almost surely, 2^2144855040 is an apocalyptic number.

2144855040 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 2144855040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3448785600).

2144855040 is an abundant number, since it is smaller than the sum of its proper divisors (4752716160).

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

2144855040 is a wasteful number, since it uses less digits than its factorization.

2144855040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 33.

The square root of 2144855040 is about 46312.5797165306. The cubic root of 2144855040 is about 1289.6325376057.

The spelling of 2144855040 in words is "two billion, one hundred forty-four million, eight hundred fifty-five thousand, forty".