2681280 has 252 divisors, whose sum is σ = 11292840. Its totient is φ = 580608.

The previous prime is 2681267. The next prime is 2681293. The reversal of 2681280 is 821862.

2681280 = 49³ + 50³ + ... + 63³.

It is an interprime number because it is at equal distance from previous prime (2681267) and next prime (2681293).

It is a tau number, because it is divible by the number of its divisors (252).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 141111 + ... + 141129.

2^2681280 is an apocalyptic number.

2681280 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 2681280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5646420).

2681280 is an abundant number, since it is smaller than the sum of its proper divisors (8611560).

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

2681280 is a wasteful number, since it uses less digits than its factorization.

2681280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 2681280 is about 1637.4614499279. The cubic root of 2681280 is about 138.9251015500.

The spelling of 2681280 in words is "two million, six hundred eighty-one thousand, two hundred eighty".