1280993280 has 576 divisors, whose sum is σ = 5108987520. Its totient is φ = 272498688.

The previous prime is 1280993267. The next prime is 1280993321. The reversal of 1280993280 is 823990821.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 34621422 + ... + 34621458.

It is an arithmetic number, because the mean of its divisors is an integer number (8869770).

Almost surely, 2^1280993280 is an apocalyptic number.

1280993280 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 1280993280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2554493760).

1280993280 is an abundant number, since it is smaller than the sum of its proper divisors (3827994240).

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

1280993280 is a wasteful number, since it uses less digits than its factorization.

1280993280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 1280993280 is about 35790.9664580324. The cubic root of 1280993280 is about 1086.0478257650.

The spelling of 1280993280 in words is "one billion, two hundred eighty million, nine hundred ninety-three thousand, two hundred eighty".