1540537920 has 448 divisors, whose sum is σ = 5744870400. Its totient is φ = 388177920.

The previous prime is 1540537871. The next prime is 1540537987. The reversal of 1540537920 is 297350451.

1540537920 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19500441 + ... + 19500519.

Almost surely, 2^1540537920 is an apocalyptic number.

1540537920 is a gapful number since it is divisible by the number (10) 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 1540537920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2872435200).

1540537920 is an abundant number, since it is smaller than the sum of its proper divisors (4204332480).

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

1540537920 is a wasteful number, since it uses less digits than its factorization.

1540537920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 1540537920 is about 39249.6868777319. The cubic root of 1540537920 is about 1154.9347913936.

The spelling of 1540537920 in words is "one billion, five hundred forty million, five hundred thirty-seven thousand, nine hundred twenty".