1281066240 has 144 divisors (see below), whose sum is σ = 4120704000. Its totient is φ = 339173376.

The previous prime is 1281066221. The next prime is 1281066251. The reversal of 1281066240 is 426601821.

It is a super-2 number, since 2×1281066240² = 3282261422535475200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1281066198 and 1281066207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 571041 + ... + 573279.

It is an arithmetic number, because the mean of its divisors is an integer number (28616000).

Almost surely, 2^1281066240 is an apocalyptic number.

1281066240 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 1281066240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2060352000).

1281066240 is an abundant number, since it is smaller than the sum of its proper divisors (2839637760).

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

1281066240 is a wasteful number, since it uses less digits than its factorization.

1281066240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2412 (or 2398 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 1281066240 is about 35791.9856951245. The cubic root of 1281066240 is about 1086.0684442820.

The spelling of 1281066240 in words is "one billion, two hundred eighty-one million, sixty-six thousand, two hundred forty".