1540242405 has 128 divisors (see below), whose sum is σ = 3065610240. Its totient is φ = 728904960.

The previous prime is 1540242373. The next prime is 1540242419. The reversal of 1540242405 is 5042420451.

1540242405 is a `hidden beast` number, since 15 + 4 + 0 + 242 + 405 = 666.

1540242405 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1540242405 - 2⁵ = 1540242373 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 5856304 + ... + 5856566.

It is an arithmetic number, because the mean of its divisors is an integer number (23950080).

Almost surely, 2^1540242405 is an apocalyptic number.

1540242405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1540242405 is a deficient number, since it is larger than the sum of its proper divisors (1525367835).

1540242405 is a wasteful number, since it uses less digits than its factorization.

1540242405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 1540242405 is about 39245.9221448547. The cubic root of 1540242405 is about 1154.8609378874.

Adding to 1540242405 its reverse (5042420451), we get a palindrome (6582662856).

The spelling of 1540242405 in words is "one billion, five hundred forty million, two hundred forty-two thousand, four hundred five".