1538886240 has 288 divisors, whose sum is σ = 5713999200. Its totient is φ = 375570432.

The previous prime is 1538886233. The next prime is 1538886241. The reversal of 1538886240 is 426888351.

1538886240 is a `hidden beast` number, since 15 + 3 + 8 + 8 + 8 + 624 + 0 = 666.

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

It is a super-2 number, since 2×1538886240² = 4736341719322675200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1538886241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 904911 + ... + 906609.

It is an arithmetic number, because the mean of its divisors is an integer number (19840275).

Almost surely, 2^1538886240 is an apocalyptic number.

1538886240 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 1538886240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2856999600).

1538886240 is an abundant number, since it is smaller than the sum of its proper divisors (4175112960).

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

1538886240 is a wasteful number, since it uses less digits than its factorization.

1538886240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1774 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 1538886240 is about 39228.6405576334. The cubic root of 1538886240 is about 1154.5218912819.

It can be divided in two parts, 1538 and 886240, that added together give a triangular number (887778 = T₁₃₃₂).

The spelling of 1538886240 in words is "one billion, five hundred thirty-eight million, eight hundred eighty-six thousand, two hundred forty".