2687225280 has 224 divisors, whose sum is σ = 8879189760. Its totient is φ = 688005120.

The previous prime is 2687225267. The next prime is 2687225293. The reversal of 2687225280 is 825227862.

It is an interprime number because it is at equal distance from previous prime (2687225267) and next prime (2687225293).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2636611 + ... + 2637629.

It is an arithmetic number, because the mean of its divisors is an integer number (39639240).

Almost surely, 2^2687225280 is an apocalyptic number.

2687225280 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 2687225280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4439594880).

2687225280 is an abundant number, since it is smaller than the sum of its proper divisors (6191964480).

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

2687225280 is a wasteful number, since it uses less digits than its factorization.

2687225280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 2687225280 is about 51838.4536806414. The cubic root of 2687225280 is about 1390.2770663812.

The spelling of 2687225280 in words is "two billion, six hundred eighty-seven million, two hundred twenty-five thousand, two hundred eighty".