1540261104 has 80 divisors (see below), whose sum is σ = 4128069120. Its totient is φ = 494507520.

The previous prime is 1540261103. The next prime is 1540261141. The reversal of 1540261104 is 4011620451.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1540261103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150519 + ... + 160425.

It is an arithmetic number, because the mean of its divisors is an integer number (51600864).

Almost surely, 2^1540261104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1540261104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2064034560).

1540261104 is an abundant number, since it is smaller than the sum of its proper divisors (2587808016).

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

1540261104 is a wasteful number, since it uses less digits than its factorization.

1540261104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10038 (or 10032 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 1540261104 is about 39246.1603727040. The cubic root of 1540261104 is about 1154.8656113200.

Adding to 1540261104 its reverse (4011620451), we get a palindrome (5551881555).

The spelling of 1540261104 in words is "one billion, five hundred forty million, two hundred sixty-one thousand, one hundred four".