1538987040 has 288 divisors, whose sum is σ = 5686402176. Its totient is φ = 392325120.

The previous prime is 1538986979. The next prime is 1538987089. The reversal of 1538987040 is 407898351.

1538987040 is a `hidden beast` number, since 1 + 538 + 9 + 8 + 70 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1538987040² = 4736962218575923200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 893380 + ... + 895100.

It is an arithmetic number, because the mean of its divisors is an integer number (19744452).

Almost surely, 2^1538987040 is an apocalyptic number.

1538987040 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 1538987040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2843201088).

1538987040 is an abundant number, since it is smaller than the sum of its proper divisors (4147415136).

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

1538987040 is a wasteful number, since it uses less digits than its factorization.

1538987040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1774 (or 1754 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 1538987040 is about 39229.9253121899. The cubic root of 1538987040 is about 1154.5470985309.

The spelling of 1538987040 in words is "one billion, five hundred thirty-eight million, nine hundred eighty-seven thousand, forty".