2015459040 has 192 divisors, whose sum is σ = 7328724480. Its totient is φ = 456038400.

The previous prime is 2015459011. The next prime is 2015459041. The reversal of 2015459040 is 409545102.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2015458989 and 2015459007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2015459041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 336391 + ... + 342329.

It is an arithmetic number, because the mean of its divisors is an integer number (38170440).

Almost surely, 2^2015459040 is an apocalyptic number.

2015459040 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 2015459040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3664362240).

2015459040 is an abundant number, since it is smaller than the sum of its proper divisors (5313265440).

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

2015459040 is a wasteful number, since it uses less digits than its factorization.

2015459040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6065 (or 6057 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 2015459040 is about 44893.8641687258. The cubic root of 2015459040 is about 1263.1589167682.

The spelling of 2015459040 in words is "two billion, fifteen million, four hundred fifty-nine thousand, forty".