1288380240 has 240 divisors, whose sum is σ = 4995858816. Its totient is φ = 291456000.

The previous prime is 1288380221. The next prime is 1288380251. The reversal of 1288380240 is 420838821.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 1288380195 and 1288380204.

It is a congruent number.

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, 507775 + ... + 510305.

Almost surely, 2^1288380240 is an apocalyptic number.

1288380240 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 1288380240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2497929408).

1288380240 is an abundant number, since it is smaller than the sum of its proper divisors (3707478576).

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

1288380240 is a wasteful number, since it uses less digits than its factorization.

1288380240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2658 (or 2649 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 1288380240 is about 35894.0139856216. The cubic root of 1288380240 is about 1088.1314224535.

The spelling of 1288380240 in words is "one billion, two hundred eighty-eight million, three hundred eighty thousand, two hundred forty".