2014871040 has 720 divisors, whose sum is σ = 8874369504. Its totient is φ = 411402240.

The previous prime is 2014871039. The next prime is 2014871041. The reversal of 2014871040 is 401784102.

It is an interprime number because it is at equal distance from previous prime (2014871039) and next prime (2014871041).

It is a tau number, because it is divible by the number of its divisors (720).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 2014870995 and 2014871013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2014871041) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 64995825 + ... + 64995855.

Almost surely, 2^2014871040 is an apocalyptic number.

2014871040 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 2014871040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4437184752).

2014871040 is an abundant number, since it is smaller than the sum of its proper divisors (6859498464).

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

2014871040 is a wasteful number, since it uses less digits than its factorization.

2014871040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 2014871040 is about 44887.3149118991. The cubic root of 2014871040 is about 1263.0360647413.

The spelling of 2014871040 in words is "two billion, fourteen million, eight hundred seventy-one thousand, forty".