2678501280 has 576 divisors, whose sum is σ = 10757940480. Its totient is φ = 548241408.

The previous prime is 2678501257. The next prime is 2678501281. The reversal of 2678501280 is 821058762.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (2678501281) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30095476 + ... + 30095564.

It is an arithmetic number, because the mean of its divisors is an integer number (18676980).

Almost surely, 2^2678501280 is an apocalyptic number.

2678501280 is a gapful number since it is divisible by the number (20) 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 2678501280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5378970240).

2678501280 is an abundant number, since it is smaller than the sum of its proper divisors (8079439200).

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

2678501280 is a wasteful number, since it uses less digits than its factorization.

2678501280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 2678501280 is about 51754.2392466550. The cubic root of 2678501280 is about 1388.7709370931.

The spelling of 2678501280 in words is "two billion, six hundred seventy-eight million, five hundred one thousand, two hundred eighty".