1540295232 has 224 divisors, whose sum is σ = 4798771200. Its totient is φ = 426995712.

The previous prime is 1540295231. The next prime is 1540295261. The reversal of 1540295232 is 2325920451.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 1540295193 and 1540295202.

It is not an unprimeable number, because it can be changed into a prime (1540295231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9449583 + ... + 9449745.

Almost surely, 2^1540295232 is an apocalyptic number.

1540295232 is a gapful number since it is divisible by the number (12) 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 1540295232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2399385600).

1540295232 is an abundant number, since it is smaller than the sum of its proper divisors (3258475968).

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

1540295232 is a wasteful number, since it uses less digits than its factorization.

1540295232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 1540295232 is about 39246.5951644216. The cubic root of 1540295232 is about 1154.8741408181.

The spelling of 1540295232 in words is "one billion, five hundred forty million, two hundred ninety-five thousand, two hundred thirty-two".