2015161374240 has 1152 divisors, whose sum is σ = 8496826490880. Its totient is φ = 424656691200.

The previous prime is 2015161374227. The next prime is 2015161374241. The reversal of 2015161374240 is 424731615102.

2015161374240 is a `hidden beast` number, since 2 + 0 + 1 + 516 + 137 + 4 + 2 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2015161374195 and 2015161374204.

It is not an unprimeable number, because it can be changed into a prime (2015161374241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1899303310 + ... + 1899304370.

It is an arithmetic number, because the mean of its divisors is an integer number (7375717440).

Almost surely, 2^{2015161374240} is an apocalyptic number.

2015161374240 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 2015161374240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4248413245440).

2015161374240 is an abundant number, since it is smaller than the sum of its proper divisors (6481665116640).

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

2015161374240 is a wasteful number, since it uses less digits than its factorization.

2015161374240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 2015161374240 its reverse (424731615102), we get a palindrome (2439892989342).

The spelling of 2015161374240 in words is "two trillion, fifteen billion, one hundred sixty-one million, three hundred seventy-four thousand, two hundred forty".