2015434262880 has 1728 divisors, whose sum is σ = 8263313210880. Its totient is φ = 460976209920.

The previous prime is 2015434262873. The next prime is 2015434262903. The reversal of 2015434262880 is 882624345102.

2015434262880 is a `hidden beast` number, since 2 + 0 + 1 + 543 + 4 + 2 + 6 + 28 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 12068468557 + ... + 12068468723.

It is an arithmetic number, because the mean of its divisors is an integer number (4782009960).

Almost surely, 2^{2015434262880} is an apocalyptic number.

2015434262880 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 2015434262880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4131656605440).

2015434262880 is an abundant number, since it is smaller than the sum of its proper divisors (6247878948000).

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

2015434262880 is a wasteful number, since it uses less digits than its factorization.

2015434262880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 2015434262880 in words is "two trillion, fifteen billion, four hundred thirty-four million, two hundred sixty-two thousand, eight hundred eighty".