2015819261040 has 640 divisors, whose sum is σ = 7121914668288. Its totient is φ = 468343848960.

The previous prime is 2015819261033. The next prime is 2015819261059. The reversal of 2015819261040 is 401629185102.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 2015819261040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 494920444 + ... + 494924516.

Almost surely, 2^{2015819261040} is an apocalyptic number.

2015819261040 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 2015819261040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3560957334144).

2015819261040 is an abundant number, since it is smaller than the sum of its proper divisors (5106095407248).

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

2015819261040 is a wasteful number, since it uses less digits than its factorization.

2015819261040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4269 (or 4263 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The spelling of 2015819261040 in words is "two trillion, fifteen billion, eight hundred nineteen million, two hundred sixty-one thousand, forty".