1540019920 has 160 divisors (see below), whose sum is σ = 3918499200. Its totient is φ = 560867328.

The previous prime is 1540019911. The next prime is 1540019959. The reversal of 1540019920 is 299100451.

It is a super-2 number, since 2×1540019920² = 4743322707993612800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 7817262 + ... + 7817458.

It is an arithmetic number, because the mean of its divisors is an integer number (24490620).

Almost surely, 2^1540019920 is an apocalyptic number.

1540019920 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 1540019920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1959249600).

1540019920 is an abundant number, since it is smaller than the sum of its proper divisors (2378479280).

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

1540019920 is a wasteful number, since it uses less digits than its factorization.

1540019920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 31.

The square root of 1540019920 is about 39243.0875441778. The cubic root of 1540019920 is about 1154.8053294092.

The spelling of 1540019920 in words is "one billion, five hundred forty million, nineteen thousand, nine hundred twenty".