1540115742 has 64 divisors (see below), whose sum is σ = 3530096640. Its totient is φ = 443388000.

The previous prime is 1540115729. The next prime is 1540115747. The reversal of 1540115742 is 2475110451.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1540115747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 225859 + ... + 232577.

It is an arithmetic number, because the mean of its divisors is an integer number (55157760).

Almost surely, 2^1540115742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1540115742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1765048320).

1540115742 is an abundant number, since it is smaller than the sum of its proper divisors (1989980898).

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

1540115742 is a wasteful number, since it uses less digits than its factorization.

1540115742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6909.

The product of its (nonzero) digits is 5600, while the sum is 30.

The square root of 1540115742 is about 39244.3084026206. The cubic root of 1540115742 is about 1154.8292800651.

The spelling of 1540115742 in words is "one billion, five hundred forty million, one hundred fifteen thousand, seven hundred forty-two".