2015439666240 has 672 divisors, whose sum is σ = 8745144718464. Its totient is φ = 386576547840.

The previous prime is 2015439666239. The next prime is 2015439666241. The reversal of 2015439666240 is 426669345102.

It is an interprime number because it is at equal distance from previous prime (2015439666239) and next prime (2015439666241).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2015439666240.

It is not an unprimeable number, because it can be changed into a prime (2015439666241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6576912 + ... + 6876528.

It is an arithmetic number, because the mean of its divisors is an integer number (13013608212).

Almost surely, 2^{2015439666240} is an apocalyptic number.

2015439666240 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 2015439666240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4372572359232).

2015439666240 is an abundant number, since it is smaller than the sum of its proper divisors (6729705052224).

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

2015439666240 is a wasteful number, since it uses less digits than its factorization.

2015439666240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299675 (or 299658 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 48.

The spelling of 2015439666240 in words is "two trillion, fifteen billion, four hundred thirty-nine million, six hundred sixty-six thousand, two hundred forty".