2014943040 has 560 divisors, whose sum is σ = 8072469504. Its totient is φ = 472780800.

The previous prime is 2014942987. The next prime is 2014943041. The reversal of 2014943040 is 403494102.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2014942995 and 2014943013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2014943041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10549345 + ... + 10549535.

Almost surely, 2^2014943040 is an apocalyptic number.

2014943040 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 2014943040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4036234752).

2014943040 is an abundant number, since it is smaller than the sum of its proper divisors (6057526464).

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

2014943040 is a wasteful number, since it uses less digits than its factorization.

2014943040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2014943040 is about 44888.1169130539. The cubic root of 2014943040 is about 1263.0511091306.

The spelling of 2014943040 in words is "two billion, fourteen million, nine hundred forty-three thousand, forty".